Zaloguj się

Gotowe bibliografie tematyczne / Generalised weight polynomials / Artykuły w czasopismach

Artykuły w czasopismach na temat „Generalised weight polynomials”

Kliknij ten link, aby zobaczyć inne rodzaje publikacji na ten temat: Generalised weight polynomials.

Autor: Grafiati

Data publikacji: 4 czerwca 2021

Data aktualizacji: 10 lutego 2022

Utwórz poprawne odniesienie w stylach APA, MLA, Chicago, Harvard i wielu innych

Wybierz rodzaj źródła:

Sprawdź 50 najlepszych artykułów w czasopismach naukowych na temat „Generalised weight polynomials”.

Przycisk „Dodaj do bibliografii” jest dostępny obok każdej pracy w bibliografii. Użyj go – a my automatycznie utworzymy odniesienie bibliograficzne do wybranej pracy w stylu cytowania, którego potrzebujesz: APA, MLA, Harvard, Chicago, Vancouver itp.

Możesz również pobrać pełny tekst publikacji naukowej w formacie „.pdf” i przeczytać adnotację do pracy online, jeśli odpowiednie parametry są dostępne w metadanych.

Przeglądaj artykuły w czasopismach z różnych dziedzin i twórz odpowiednie bibliografie.

1

Blower, Gordon, i Yang Chen. "On Determinant Expansions for Hankel Operators". Concrete Operators 7, nr 1 (4.02.2020): 13–44. http://dx.doi.org/10.1515/conop-2020-0002.

Pełny tekst źródła

Streszczenie:

AbstractLet w be a semiclassical weight that is generic in Magnus’s sense, and ({p_n})_{n = 0}^\infty the corresponding sequence of orthogonal polynomials. We express the Christoffel–Darboux kernel as a sum of products of Hankel integral operators. For ψ ∈ L∞ (iℝ), let W(ψ) be the Wiener-Hopf operator with symbol ψ. We give sufficient conditions on ψ such that 1/ det W(ψ) W(ψ−1) = det(I − Γϕ1Γϕ2) where Γϕ1 and Γϕ2 are Hankel operators that are Hilbert–Schmidt. For certain, ψ Barnes’s integral leads to an expansion of this determinant in terms of the generalised hypergeometric 2mF2m-1. These results extend those of Basor and Chen [2], who obtained 4F3 likewise. We include examples where the Wiener–Hopf factors are found explicitly.

Style APA, Harvard, Vancouver, ISO itp.

2

Ftorek, Branislav, i Mariana Marˇcokov´A. "Markov type polynomial inequality for some generalized Hermite weight". Tatra Mountains Mathematical Publications 49, nr 1 (1.12.2011): 111–18. http://dx.doi.org/10.2478/v10127-011-0030-4.

Pełny tekst źródła

Streszczenie:

ABSTRACT In this paper we study some weighted polynomial inequalities of Markov type in L2-norm. We use the properties of the system of generalized Hermite polynomials . The polynomials H(α)n (x) are orthogonal in ℝ = (−∞,∞) with respect to the weight function . The classical Hermite polynomials Hn(x) present the special case for α = 0.

Style APA, Harvard, Vancouver, ISO itp.

3

Czyżycki, Tomasz, Jiří Hrivnák i Jiří Patera. "Generating Functions for Orthogonal Polynomials of A2, C2 and G2". Symmetry 10, nr 8 (20.08.2018): 354. http://dx.doi.org/10.3390/sym10080354.

Pełny tekst źródła

Streszczenie:

The generating functions of fourteen families of generalized Chebyshev polynomials related to rank two Lie algebras A 2 , C 2 and G 2 are explicitly developed. There exist two classes of the orthogonal polynomials corresponding to the symmetric and antisymmetric orbit functions of each rank two algebra. The Lie algebras G 2 and C 2 admit two additional polynomial collections arising from their hybrid character functions. The admissible shift of the weight lattice permits the construction of a further four shifted polynomial classes of C 2 and directly generalizes formation of the classical univariate Chebyshev polynomials of the third and fourth kinds. Explicit evaluating formulas for each polynomial family are derived and linked to the incomplete exponential Bell polynomials.

Style APA, Harvard, Vancouver, ISO itp.

4

Kang, J. Y. "Some Properties of Multiple Generalizedq-Genocchi Polynomials with Weight and Weak Weight". International Journal of Mathematics and Mathematical Sciences 2012 (2012): 1–13. http://dx.doi.org/10.1155/2012/179385.

Pełny tekst źródła

Streszczenie:

The present paper deals with the variousq-Genocchi numbers and polynomials. We define a new type of multiple generalizedq-Genocchi numbers and polynomials with weightαand weak weightβby applying the method ofp-adicq-integral. We will find a link between their numbers and polynomials with weightαand weak weightβ. Also we will obtain the interesting properties of their numbers and polynomials with weightαand weak weightβ. Moreover, we construct a Hurwitz-type zeta function which interpolates multiple generalizedq-Genocchi polynomials with weightαand weak weightβand find some combinatorial relations.

Style APA, Harvard, Vancouver, ISO itp.

5

Della Vecchia, B., G. Mastroianni i J. Szabados. "Generalized Bernstein polynomials with Pollaczek weight". Journal of Approximation Theory 159, nr 2 (sierpień 2009): 180–96. http://dx.doi.org/10.1016/j.jat.2009.02.008.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

6

Hrivnák, Jiří, Jiří Patera i Marzena Szajewska. "Discrete Orthogonality of Bivariate Polynomials of A2, C2 and G2". Symmetry 11, nr 6 (3.06.2019): 751. http://dx.doi.org/10.3390/sym11060751.

Pełny tekst źródła

Streszczenie:

We develop discrete orthogonality relations on the finite sets of the generalized Chebyshev nodes related to the root systems A 2 , C 2 and G 2 . The orthogonality relations are consequences of orthogonality of four types of Weyl orbit functions on the fragments of the dual weight lattices. A uniform recursive construction of the polynomials as well as explicit presentation of all data needed for the discrete orthogonality relations allow practical implementation of the related Fourier methods. The polynomial interpolation method is developed and exemplified.

Style APA, Harvard, Vancouver, ISO itp.

7

Zaheer, Neyamat, i Aijaz A. Khan. "Some theorems on generalized polars with arbitrary weight". International Journal of Mathematics and Mathematical Sciences 10, nr 4 (1987): 757–76. http://dx.doi.org/10.1155/s0161171287000851.

Pełny tekst źródła

Streszczenie:

The present paper, which is a continuation of our earlier work in Annali di Mathematica [1] and Journal Math. Seminar [2] (EγEUθPIA), University of Athens, Greece, deals with the problem of determining sufficiency conditions for the nonvanishing of generalized polars (with a vanishing or nonvanishing weight) of the product of abstract homogeneous polynomials in the general case when the factor polynomials have been preassigned independent locations for their respective null-sets. Our main theorems here fully answer this general problem and include in them, as special cases, all the results on the topic known to date and established by Khan, Marden and Zaheer (see Pacific J. Math. 74 (1978), 2, pp. 535-557, and the papers cited above). Besides, one of the main theorems leads to an improved version of Marden's general theorem on critical points of rational functions of the formf1f2…fp/fp+1…fq,fibeing complex-valued polynomials of degreeni.

Style APA, Harvard, Vancouver, ISO itp.

8

Gao, Rugao, Keping Zhou i Yun Lin. "A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters". Complexity 2018 (3.12.2018): 1–14. http://dx.doi.org/10.1155/2018/7471460.

Pełny tekst źródła

Streszczenie:

The generalized Polynomial Chaos Expansion Method (gPCEM), which is a random uncertainty analysis method by employing the orthogonal polynomial bases from the Askey scheme to represent the random space, has been widely used in engineering applications due to its good performance in both computational efficiency and accuracy. But in gPCEM, a nonlinear transformation of random variables should always be used to adapt the generalized Polynomial Chaos theory for the analysis of random problems with complicated probability distributions, which may introduce nonlinearity in the procedure of random uncertainty propagation as well as leading to approximation errors on the probability distribution function (PDF) of random variables. This paper aims to develop a flexible polynomial expansion method for response analysis of the finite element system with bounded random variables following arbitrary probability distributions. Based on the large family of Jacobi polynomials, an Improved Jacobi Chaos Expansion Method (IJCEM) is proposed. In IJCEM, the response of random system is approximated by the Jacobi expansion with the Jacobi polynomial basis whose weight function is the closest to the probability density distribution (PDF) of the random variable. Subsequently, the moments of the response can be efficiently calculated though the Jacobi expansion. As the IJCEM avoids the necessity that the PDF should be represented in terms of the weight function of polynomial basis by using the variant transformation, neither the nonlinearity nor the errors on random models will be introduced in IJCEM. Numerical examples on two random problems show that compared with gPCEM, the IJCEM can achieve better efficiency and accuracy for random problems with complex probability distributions.

Style APA, Harvard, Vancouver, ISO itp.

9

Kasuga, T., i R. Sakai. "Orthonormal polynomials with generalized Freud-type weights". Journal of Approximation Theory 121, nr 1 (marzec 2003): 13–53. http://dx.doi.org/10.1016/s0021-9045(02)00041-2.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

10

Brackx, Fred, Nele De Schepper i Frank Sommen. "Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space". International Journal of Mathematics and Mathematical Sciences 2004, nr 52 (2004): 2761–72. http://dx.doi.org/10.1155/s0161171204401045.

Pełny tekst źródła

Streszczenie:

A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions. Now the class of weight functions involved is enlarged to encompass Clifford algebra-valued functions. The method consists in transforming the orthogonality relation on the open unit ball into an orthogonality relation on the real axis by means of the so-called Clifford-Heaviside functions. Consequently, appropriate orthogonal polynomials on the real axis give rise to Clifford algebra-valued orthogonal polynomials in the unit ball. Three specific examples of such orthogonal polynomials in the unit ball are discussed, namely, the generalized Clifford-Jacobi polynomials, the generalized Clifford-Gegenbauer polynomials, and the shifted Clifford-Jacobi polynomials.

Style APA, Harvard, Vancouver, ISO itp.

11

Nevai, Paul, Tamás Erdélyi i Alphonse P. Magnus. "Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials". SIAM Journal on Mathematical Analysis 25, nr 2 (marzec 1994): 602–14. http://dx.doi.org/10.1137/s0036141092236863.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

12

Jolany, Hassan, Serkan Araci, Mehmet Acikgoz i Jong-Jin Seo. "A note on the generalized q-Genocchi measures with weight". Boletim da Sociedade Paranaense de Matemática 31, nr 1 (21.10.2011): 17. http://dx.doi.org/10.5269/bspm.v31i1.14184.

Pełny tekst źródła

Streszczenie:

In this paper we investigate special generalized q-Genocchi measures. We introduce q-Genocchi measures with weight alpha. The present paper deals with q-extension of Genocchi measure. Some earlier results of T. Kim in terms of q-Genocchi polynomials can be deduced. We apply the method of generating function, which are exploited to derive further classes of q-Genocchi polynomials and develop q-Genocchi measures. To be more precise, we present the integral representation of p-adic q-Genocchi measure with weight alpha which yields a deeper insight into the effectiveness of this type of generalizations. Generalized q-Genocchi numbers with weight alpha possess a number of interesting properties which we state in this paper.

Style APA, Harvard, Vancouver, ISO itp.

13

Ronveaux, A., i F. Marcellan. "Differential Equation for Classical-Type Orthogonal Polynomials". Canadian Mathematical Bulletin 32, nr 4 (1.12.1989): 404–11. http://dx.doi.org/10.4153/cmb-1989-058-5.

Pełny tekst źródła

Streszczenie:

AbstractThe second order differential equation of Littlejohn-Shore for Laguerre type orthogonal polynomials is generalized in two ways. First the positive Dirac mass can be situated at any point and secondly the weight can be any classical weight modified by an arbitrary number of Dirac distributions.

Style APA, Harvard, Vancouver, ISO itp.

14

Milovanovic, Gradimir, i Aleksandar Cvetkovic. "Numerical construction of the generalized Hermite polynomials". Publikacije Elektrotehnickog fakulteta - serija: matematika, nr 14 (2003): 49–63. http://dx.doi.org/10.2298/petf0314049m.

Pełny tekst źródła

Streszczenie:

In this paper we are concerned with polynomials orthogonal with respect to the generalized Hermite weight function w(x) = |x ? z|? exp(?x2) on R, where z?R and ? > ? 1. We give a numerically stable method for finding recursion coefficients in the three term recurrence relation for such orthogonal polynomials, using some nonlinear recurrence relations, asymptotic expansions, as well as the discretized Stieltjes-Gautschi procedure.

Style APA, Harvard, Vancouver, ISO itp.

15

Kelil, Abey S., i Appanah R. Appadu. "On Semi-Classical Orthogonal Polynomials Associated with a Modified Sextic Freud-Type Weight". Mathematics 8, nr 8 (31.07.2020): 1250. http://dx.doi.org/10.3390/math8081250.

Pełny tekst źródła

Streszczenie:

Polynomials that are orthogonal with respect to a perturbation of the Freud weight function by some parameter, known to be modified Freudian orthogonal polynomials, are considered. In this contribution, we investigate certain properties of semi-classical modified Freud-type polynomials in which their corresponding semi-classical weight function is a more general deformation of the classical scaled sextic Freud weight |x|αexp(−cx6),c>0,α>−1. Certain characterizing properties of these polynomials such as moments, recurrence coefficients, holonomic equations that they satisfy, and certain non-linear differential-recurrence equations satisfied by the recurrence coefficients, using compatibility conditions for ladder operators for these orthogonal polynomials, are investigated. Differential-difference equations were also obtained via Shohat’s quasi-orthogonality approach and also second-order linear ODEs (with rational coefficients) satisfied by these polynomials. Modified Freudian polynomials can also be obtained via Chihara’s symmetrization process from the generalized Airy-type polynomials. The obtained linear differential equation plays an essential role in the electrostatic interpretation for the distribution of zeros of the corresponding Freudian polynomials.

Style APA, Harvard, Vancouver, ISO itp.

16

Erdélyi, Tamás, Alphonse P. Magnus i Paul Nevai. "Erratum: Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials". SIAM Journal on Mathematical Analysis 25, nr 5 (wrzesień 1994): 1461. http://dx.doi.org/10.1137/0525082.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

17

Joung, Hae-Won. "FULL QUADRATURE SUMS FOR GENERALIZED POLYNOMIALS WITH FREUD WEIGHTS". Communications of the Korean Mathematical Society 25, nr 2 (30.04.2010): 215–24. http://dx.doi.org/10.4134/ckms.2010.25.2.215.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

18

Shi, Ying-guang. "L m Extemal Polynomials Associated with Generalized Jacobi Weights". Acta Mathematicae Applicatae Sinica, English Series 19, nr 2 (czerwiec 2003): 205–18. http://dx.doi.org/10.1007/s10255-003-0096-0.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

19

Kasuga, T., i R. Sakai. "Orthonormal polynomials for generalized Freud-type weights and higher-order Hermite–Fejér interpolation polynomials". Journal of Approximation Theory 127, nr 1 (marzec 2004): 1–38. http://dx.doi.org/10.1016/j.jat.2004.01.006.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

20

Ryoo, C. S. "Some identities on the generalized q-Euler polynomials with weak weight". International Mathematical Forum 8 (2013): 983–88. http://dx.doi.org/10.12988/imf.2013.13106.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

21

Wen, Zhi-Tao, Roderick Wong i Shuai-Xia Xu. "Global Asymptotics of Orthogonal Polynomials Associated with a Generalized Freud Weight". Chinese Annals of Mathematics, Series B 39, nr 3 (28.04.2018): 553–96. http://dx.doi.org/10.1007/s11401-018-0082-8.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

22

Erdélyi, Tamás, i Paul Nevai. "Generalized Jacobi weights, Christoffel functions, and zeros of orthogonal polynomials". Journal of Approximation Theory 69, nr 2 (maj 1992): 111–32. http://dx.doi.org/10.1016/0021-9045(92)90136-c.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

23

Sharma, Bhu Dev, i Norris Sookoo. "Generalized Krawtchouk polynomials and the complete weight enumerator of the dual code". Journal of Discrete Mathematical Sciences and Cryptography 14, nr 6 (grudzień 2011): 503–14. http://dx.doi.org/10.1080/09720529.2011.10698351.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

24

Ryoo, Cheon Seoung. "Some identities on the generalized twisted q-Euler polynomials with weak weight". International Mathematical Forum 11 (2016): 279–85. http://dx.doi.org/10.12988/imf.2016.613.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

25

Notarangelo, Incoronata. "On a conjecture of Nevai". Publications de l'Institut Math?matique (Belgrade) 96, nr 110 (2014): 227–31. http://dx.doi.org/10.2298/pim1410227n.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

26

Bao, Yuanyuan, i Zhongtao Wu. "Alexander polynomial and spanning trees". International Journal of Mathematics 32, nr 08 (lipiec 2021): 2150073. http://dx.doi.org/10.1142/s0129167x21500737.

Pełny tekst źródła

Streszczenie:

Inspired by the combinatorial constructions in earlier work of the authors that generalized the classical Alexander polynomial to a large class of spatial graphs with a balanced weight on edges, we show that the value of the Alexander polynomial evaluated at [Formula: see text] gives the weighted number of the spanning trees of the graph.

Style APA, Harvard, Vancouver, ISO itp.

27

Bialas-Ciez, Leokadia, i Grzegorz Sroka. "Polynomial inequalities in L^p norms with generalized Jacobi weights". Mathematical Inequalities & Applications, nr 1 (2019): 261–74. http://dx.doi.org/10.7153/mia-2019-22-20.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

28

Malachivskyy, Petro. "Chebyshev approximation of the multivariable functions by some nonlinear expressions". Physico-mathematical modelling and informational technologies, nr 33 (2.09.2021): 18–22. http://dx.doi.org/10.15407/fmmit2021.33.018.

Pełny tekst źródła

Streszczenie:

A method for constructing a Chebyshev approximation of the multivariable functions by exponential, logarithmic and power expressions is proposed. It consists in reducing the problem of the Chebyshev approximation by a nonlinear expression to the construction of an intermediate Chebyshev approximation by a generalized polynomial. The intermediate Chebyshev approximation by a generalized polynomial is calculated for the values of a certain functional transformation of the function we are approximating. The construction of the Chebyshev approximation of the multivariable functions by a polynomial is realized by an iterative scheme based on the method of least squares with a variable weight function.

Style APA, Harvard, Vancouver, ISO itp.

29

Ryoo, C. S. "On the generalized twisted q-Euler numbers and polynomials with weak weight \alpha". Advanced Studies in Theoretical Physics 7 (2013): 245–51. http://dx.doi.org/10.12988/astp.2013.13023.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

30

Bavula, V., V. Bekkert i V. Futorny. "Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators". Proceedings of the American Mathematical Society 146, nr 6 (29.01.2018): 2373–80. http://dx.doi.org/10.1090/proc/13985.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

31

Ryoo, C. S. "Symmetry identities related to the generalized twisted q-Euler polynomials with weak weight \alpha". International Journal of Algebra 9 (2015): 227–33. http://dx.doi.org/10.12988/ija.2015.5526.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

32

Ryoo, C. S. "Generating functions of the generalized q-Genocchi numbers and polynomials with weak weight \alpha". Advanced Studies in Theoretical Physics 7 (2013): 751–57. http://dx.doi.org/10.12988/astp.2013.3657.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

33

Morozov, A. "Generalized hypergeometric series for Racah matrices in rectangular representations". Modern Physics Letters A 33, nr 04 (8.02.2018): 1850020. http://dx.doi.org/10.1142/s0217732318500207.

Pełny tekst źródła

Streszczenie:

One of the spectacular results in mathematical physics is the expression of Racah matrices for symmetric representations of the quantum group [Formula: see text] through the Askey–Wilson polynomials, associated with the [Formula: see text]-hypergeometric functions [Formula: see text]. Recently it was shown that this is in fact the general property of symmetric representations, valid for arbitrary [Formula: see text] — at least for exclusive Racah matrices [Formula: see text]. The natural question then is what substitutes the conventional [Formula: see text]-hypergeometric polynomials when representations are more general? New advances in the theory of matrices [Formula: see text], provided by the study of differential expansions of knot polynomials, suggest that these are multiple sums over Young sub-diagrams of the one which describes the original representation of [Formula: see text]. A less trivial fact is that the entries of the sum are not just the factorized combinations of quantum dimensions, as in the ordinary hypergeometric series, but involve non-factorized quantities, like the skew characters and their further generalizations — as well as associated additional summations with the Littlewood–Richardson weights.

Style APA, Harvard, Vancouver, ISO itp.

34

KHOROSHKIN, S. M., A. A. STOLIN i V. N. TOLSTOY. "GENERALIZED GAUSS DECOMPOSITION OF TRIGONOMETRIC R-MATRICES". Modern Physics Letters A 10, nr 19 (21.06.1995): 1375–92. http://dx.doi.org/10.1142/s0217732395001496.

Pełny tekst źródła

Streszczenie:

The general formula for the universal R-matrix for quantized nontwisted affine algebras, obtained by the first and third authors, is applied to zero central charge, highest weight modules of the quantized affine algebras. It is shown how the universal R-matrix produces the Gauss decomposition of trigonometric R-matrix in tensor product of these modules. In particular, [Formula: see text] current realization of the universal R-matrix is presented. It gives a new universal presentation for the trigonometric R-matrix with a parameter in tensor product of Uq(sl2)-Verma modules. Detailed analysis of a scalar factor arising in finite-dimensional representations of the universal R-matrix for any Uq(ĝ) is given. We interpret this scalar factor as a multiplicative bilinear form on highest weight polynomials of irreducible representations and express this form in terms of infinite q-shifted factorials.

Style APA, Harvard, Vancouver, ISO itp.

35

Lee, H. Y., i C. S. Ryoo. "A NOTE ON THE GENERALIZED HIGHER-ORDER $q$-BERNOULLI NUMBERS AND POLYNOMIALS WITH WEIGHT $\alpha$". Taiwanese Journal of Mathematics 17, nr 3 (maj 2013): 785–800. http://dx.doi.org/10.11650/tjm.17.2013.2396.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

36

Vanlessen, M. "Strong asymptotics of the recurrence coefficients of orthogonal polynomials associated to the generalized Jacobi weight". Journal of Approximation Theory 125, nr 2 (grudzień 2003): 198–237. http://dx.doi.org/10.1016/j.jat.2003.11.005.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

37

Jalab, Hamid A., i Rabha W. Ibrahim. "On Generalized Fractional Differentiator Signals". Discrete Dynamics in Nature and Society 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/795954.

Pełny tekst źródła

Streszczenie:

By employing the generalized fractional differential operator, we introduce a system of fractional order derivative for a uniformly sampled polynomial signal. The calculation of the bring in signal depends on the additive combination of the weighted bring-in ofNcascaded digital differentiators. The weights are imposed in a closed formula containing the Stirling numbers of the first kind. The approach taken in this work is to consider that signal function in terms of Newton series. The convergence of the system to a fractional time differentiator is discussed.

Style APA, Harvard, Vancouver, ISO itp.

38

Xu, Qinwu, i Zhoushun Zheng. "Spectral Collocation Method for Fractional Differential/Integral Equations with Generalized Fractional Operator". International Journal of Differential Equations 2019 (1.01.2019): 1–14. http://dx.doi.org/10.1155/2019/3734617.

Pełny tekst źródła

Streszczenie:

Generalized fractional operators are generalization of the Riemann-Liouville and Caputo fractional derivatives, which include Erdélyi-Kober and Hadamard operators as their special cases. Due to the complicated form of the kernel and weight function in the convolution, it is even harder to design high order numerical methods for differential equations with generalized fractional operators. In this paper, we first derive analytical formulas for α-th (α>0) order fractional derivative of Jacobi polynomials. Spectral approximation method is proposed for generalized fractional operators through a variable transform technique. Then, operational matrices for generalized fractional operators are derived and spectral collocation methods are proposed for differential and integral equations with different fractional operators. At last, the method is applied to generalized fractional ordinary differential equation and Hadamard-type integral equations, and exponential convergence of the method is confirmed. Further, based on the proposed method, a kind of generalized grey Brownian motion is simulated and properties of the model are analyzed.

Style APA, Harvard, Vancouver, ISO itp.

39

Kohnen, Winfried, i Yves Martin. "Sign changes of Fourier coefficients of cusp forms supported on prime power indices". International Journal of Number Theory 10, nr 08 (29.10.2014): 1921–27. http://dx.doi.org/10.1142/s1793042114500626.

Pełny tekst źródła

Streszczenie:

Let f be an even integral weight, normalized, cuspidal Hecke eigenform over SL2(ℤ) with Fourier coefficients a(n). Let j be a positive integer. We prove that for almost all primes p the sequence (a(pjn))n≥0 has infinitely many sign changes. We also obtain a similar result for any cusp form with real Fourier coefficients that provide the characteristic polynomial of some generalized Hecke operator is irreducible over ℚ.

Style APA, Harvard, Vancouver, ISO itp.

40

Guang Shi, Ying. "A note on the distance between two consecutive zeros of m-orthogonal polynomials for a generalized Jacobi weight". Journal of Approximation Theory 147, nr 2 (sierpień 2007): 205–14. http://dx.doi.org/10.1016/j.jat.2007.01.007.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

41

Guven, Ali, i Vakhtang Kokilashvili. "Two-weight estimates for Fourier operators and Bernstein inequality". Studia Scientiarum Mathematicarum Hungarica 47, nr 1 (1.03.2010): 12–34. http://dx.doi.org/10.1556/sscmath.2009.1109.

Pełny tekst źródła

Streszczenie:

The norm estimation problem for Fourier operators acting from Lwp (\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathbb{T}$$ \end{document}) to Lυq (\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathbb{T}$$ \end{document}) where 1 < p ≦ q < ∞ was investigated. These results has been generalized to the two-dimensional case and applied to obtain generalizations of the Bernstein inequality for trigonometric polynomials of one and two variables. Also, the rates of convergence of Cesaro and Abel-Poisson means of functions f ∈ Lwp (\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathbb{T}$$ \end{document}) has been estimated in the case p = q and υ ≡ w . The generalized Bernstein inequality applied to estimate the order of best trigonometric approximation of the derivative of functions f ∈ Lwp (\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathbb{T}$$ \end{document}) in the space Lυq (\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathbb{T}$$ \end{document}).

Style APA, Harvard, Vancouver, ISO itp.

42

CHOIE, YOUNGJU, i WINFRIED KOHNEN. "SIGN CHANGES OF FOURIER COEFFICIENTS OF ENTIRE MODULAR INTEGRALS". Glasgow Mathematical Journal 54, nr 2 (29.03.2012): 355–58. http://dx.doi.org/10.1017/s0017089512000018.

Pełny tekst źródła

Streszczenie:

AbstractLet f be a non-zero cusp form with real Fourier coefficients a(n) (n ≥ 1) of positive real weight k and a unitary multiplier system v on a subgroup Γ ⊂ SL2(ℝ) that is finitely generated and of Fuchsian type of the first kind. Then, it is known that the sequence (a(n))(n ≥ 1) has infinitely many sign changes. In this short note, we generalise the above result to the case of entire modular integrals of non-positive integral weight k on the group Γ0*(N) (N ∈ ℕ) generated by the Hecke congruence subgroup Γ0(N) and the Fricke involution $W_N:= \big(\scriptsize\begin{array}{c@{}c} 0 & -{1/\sqrt N} \\[3pt] \sqrt N & 0\\ \end{array}\big)$ provided that the associated period functions are polynomials.

Style APA, Harvard, Vancouver, ISO itp.

43

Charlier, Christophe. "Asymptotics of Hankel Determinants With a One-Cut Regular Potential and Fisher–Hartwig Singularities". International Mathematics Research Notices 2019, nr 24 (7.02.2018): 7515–76. http://dx.doi.org/10.1093/imrn/rny009.

Pełny tekst źródła

Streszczenie:

Abstract We obtain asymptotics of large Hankel determinants whose weight depends on a one-cut regular potential and any number of Fisher–Hartwig singularities. This generalises two results: (1) a result of Berestycki, Webb, and Wong [5] for root-type singularities and (2) a result of Its and Krasovsky [37] for a Gaussian weight with a single jump-type singularity. We show that when we apply a piecewise constant thinning on the eigenvalues of a random Hermitian matrix drawn from a one-cut regular ensemble, the gap probability in the thinned spectrum, as well as correlations of the characteristic polynomial of the associated conditional point process, can be expressed in terms of these determinants.

Style APA, Harvard, Vancouver, ISO itp.

44

Valente, Jorge M. S., i Rui A. F. S. Alves. "A note on scheduling on a single processor with variable speed". Pesquisa Operacional 23, nr 3 (grudzień 2003): 457–62. http://dx.doi.org/10.1590/s0101-74382003000300005.

Pełny tekst źródła

Streszczenie:

Alidaee and Ahmadian considered a single machine scheduling problem with varying processing times, and presented a polynomial algorithm that minimizes the sum of absolute deviations of jobs' completion times from a common due date. In this short note we remark that it is possible to eliminate one of the algorithm steps, therefore obtaining a more efficient procedure. We also show that the approach used can easily be generalized to the problem with different weights for earliness and tardiness.

Style APA, Harvard, Vancouver, ISO itp.

45

Alqudah, Mohammad A., Maalee N. Almheidat i Tareq Hamadneh. "Bivariate Generalized Shifted Gegenbauer Orthogonal System". Journal of Mathematics 2021 (31.03.2021): 1–9. http://dx.doi.org/10.1155/2021/5563032.

Pełny tekst źródła

Streszczenie:

For K 0 , K 1 ≥ 0 , λ > − 1 / 2 , we examine C r ∗ λ , K 0 , K 1 x , generalized shifted Gegenbauer orthogonal polynomials, with reference to the weight W λ , K 0 , K 1 x = 2 λ Γ 2 λ / Γ λ + 1 / 2 2 x − x 2 λ − 1 / 2 I x ∈ 0,1 d x + K 0 δ 0 + K 1 δ 1 , where the indicator function is denoted by I x ∈ 0,1 and δ x indicates the Dirac δ − measure. Then, we construct a bivariate generalized shifted Gegenbauer orthogonal system ℭ n , r , d ∗ λ , K 0 , K 1 u , v , w over a triangular domain T , with reference to a bivariate measure W λ , γ , K 0 , K 1 u , v , w = Γ 2 λ + 1 / Γ λ + 1 / 2 2 u λ − 1 / 2 1 − v λ − 1 / 2 1 − w γ − 1 I u ∈ 0,1 − w I w ∈ 0,1 d u d w + K 0 δ 0 u + K 1 δ w − 1 u , which is given explicitly in the Bézier form as ℭ n , r , d ∗ λ , K 0 , K 1 u , v , w = ∑ i + j + k = n a i , j , k n , r , d B i , j , k n u , v , w . In addition, for d = 0 , … , k , r = 0,1 , … , n , and n ∈ 0 ∪ ℕ , we write the coefficients a i , j , k n , r , d in closed form and produce an equation that generates the coefficients recursively.

Style APA, Harvard, Vancouver, ISO itp.

46

Shiau, T. N., i J. R. Chang. "Multi-objective Optimization of Rotor-Bearing System With Critical Speed Constraints". Journal of Engineering for Gas Turbines and Power 115, nr 2 (1.04.1993): 246–55. http://dx.doi.org/10.1115/1.2906701.

Pełny tekst źródła

Streszczenie:

An efficient optimal design algorithm is developed to minimize, individually or simultaneously, the total weight of the shaft and the transmitted forces at the bearings. These factors play very important roles in designing a rotor-bearing system under the constraints of critical speeds. The cross-sectional area of the shaft, the bearing stiffness, and the positions of bearings and disks are chosen as the design variables. The dynamic characteristics are determined by applying the generalized polynomial expansion method and the sensitivity analysis is also investigated. For multi-objective optimization, the weighting method (WM), the goal programming method (GPM), and the fuzzy method (FM) are applied. The results show that the present multi-objective optimization algorithm can greatly reduce both the weight of the shaft and the forces at the bearings with critical speed constraints.

Style APA, Harvard, Vancouver, ISO itp.

47

Brooks, John R., Lichun Jiang i Alexander Clark. "Compatible Stem Taper, Volume, and Weight Equations for Young Longleaf Pine Plantations in Southwest Georgia". Southern Journal of Applied Forestry 31, nr 4 (1.11.2007): 187–91. http://dx.doi.org/10.1093/sjaf/31.4.187.

Pełny tekst źródła

Streszczenie:

Abstract Outside and inside bark diameter measurements were recorded from tree disks obtained at 0-, 0.5-, 2.0-, 4.5-, 6.0-, 16.6-, and at 4-ft-height intervals above 6 ft to a 2-in. diameter outside bark top diameter on 42 longleaf pine trees selected from intensively managed longleaf pine (Pinus palustris Mill.) plantations in Dougherty and Worth Counties in southwest Georgia. Trees were sampled from unthinned, cutover stands in their 11th and 14th growing season, which are currently part of an existing growth and yield study. Sample trees ranged from 2 to 7 in. in diameter and from 18 to 40 ft in total height. Parameters for a segmented polynomial taper and compatible cubic foot volume and weight equation were simultaneously estimated using a seemingly unrelated nonlinear fitting procedure to volumes based on a generalized Newton formula and an overlapping bolt methodology. Average error was approximately 0.25 in., 0.04 ft3, and 2.5 lb for taper, volume, and weight estimation, respectively.

Style APA, Harvard, Vancouver, ISO itp.

48

Han, Pengju, i Yang Chen. "The recurrence coefficients of a semi-classical Laguerre polynomials and the large n asymptotics of the associated Hankel determinant". Random Matrices: Theory and Applications 06, nr 04 (październik 2017): 1740002. http://dx.doi.org/10.1142/s2010326317400020.

Pełny tekst źródła

Streszczenie:

In this paper, we study the recurrence coefficients of a deformed or semi-classical Laguerre polynomials orthogonal with respect to the weight [Formula: see text] Here [Formula: see text], [Formula: see text] and [Formula: see text]. We will describe this problem in terms of the ratio [Formula: see text] where ultimately [Formula: see text] is bounded away from 0, and close to 1. From the ladder operator approach, and the associated compatibility conditions, the recurrence coefficients satisfy a second order ordinary differential equation (ODE) when viewed as functions of the parameter [Formula: see text] in the weight. Then we work out the large degree asymptotics of their recurrence coefficients. We also discuss the associated Hankel determinant. We show that the logarithmic derivative of [Formula: see text] can be expressed in terms of the recurrence coefficients, and obtained the large degree asymptotics of [Formula: see text]. Based on this result, we compute the probability that an [Formula: see text] (or [Formula: see text]) random matrix from a generalized Gaussian Unitary Ensemble (gGUE) is positive definite.

Style APA, Harvard, Vancouver, ISO itp.

49

Ryoo, C. S. "An identity of the generalized q-Euler polynomials with weak weight \alpha associated with p-adic invariant q-integral on Zp". Applied Mathematical Sciences 7 (2013): 867–73. http://dx.doi.org/10.12988/ams.2013.13078.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

50

BHOSLE, AMIT M., i TEOFILO F. GONZALEZ. "EXACT AND APPROXIMATION ALGORITHMS FOR FINDING AN OPTIMAL BRIDGE CONNECTING TWO SIMPLE POLYGONS". International Journal of Computational Geometry & Applications 15, nr 06 (grudzień 2005): 609–30. http://dx.doi.org/10.1142/s0218195905001889.

Pełny tekst źródła

Streszczenie:

Given two simple polygons P and Q we define the weight of a bridge (p,q), with p ∈ ρ(P) and q ∈ ρ(Q), where ρ() denotes the compact region enclosed by the boundary of the polygon, between the two polygons as gd(p,P) + d(p,q) + gd(q,Q), where d(p,q) is the Euclidean distance between the points p and q, and gd(x,X) is the geodesic distance between x and its geodesic furthest neighbor on X. Our problem differs from another version of the problem where the additional restriction of requiring the endpoints of the bridge to be mutually visible was imposed. We show that an optimal bridge always exists such that the endpoints of the bridge lie on the boundaries of the two polygons. Using this critical property, we present an algorithm to find an optimal bridge (of minimum weight) in O(n2 log n) time. We present a polynomial time approximation scheme that for any ∊ > 0 generates a bridge with objective function within a factor of 1 + ∊ of the optimal value in O(kn log kn) time, where [Formula: see text]. An improved polynomial time approximation scheme and algorithms for generalized versions of our problems are also discussed.

Style APA, Harvard, Vancouver, ISO itp.

Oferujemy zniżki na wszystkie plany premium dla autorów, których prace zostały uwzględnione w tematycznych zestawieniach literatury. Skontaktuj się z nami, aby uzyskać unikalny kod promocyjny!