Relevant bibliographies by topics / Absolutely Monotonic Functions

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  1. Journal articles
  2. Book chapters
  3. Conference papers

Academic literature on the topic 'Absolutely Monotonic Functions'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Absolutely Monotonic Functions"

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Morillas, Mariela. "A characterization of absolutely monotonic (Δ) functions." Publications de l'Institut Math?matique (Belgrade) 78, no. 92 (2005): 93–105. http://dx.doi.org/10.2298/pim0578093m.

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Bilodeau, G. G. "Extensions of Bernstein's theorem on absolutely monotonic functions." Journal of Mathematical Analysis and Applications 116, no. 2 (June 1986): 489–96. http://dx.doi.org/10.1016/s0022-247x(86)80013-0.

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Koumandos, Stamatis, and Henrik L. Pedersen. "On the Laplace Transform of Absolutely Monotonic Functions." Results in Mathematics 72, no. 3 (December 21, 2016): 1041–53. http://dx.doi.org/10.1007/s00025-016-0638-4.

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Bilodeau, G. G. "Absolutely monotonic functions and connection coefficients for polynomials." Journal of Mathematical Analysis and Applications 131, no. 2 (May 1988): 517–29. http://dx.doi.org/10.1016/0022-247x(88)90222-3.

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Yang, Shijun. "Absolutely (completely) monotonic functions and Jordan-type inequalities." Applied Mathematics Letters 25, no. 3 (March 2012): 571–74. http://dx.doi.org/10.1016/j.aml.2011.09.061.

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Novitskii, M., and D. Sacchetti. "On the functions whose inverse is jet-absolutely monotonic." Applicable Analysis 77, no. 3-4 (April 2001): 297–304. http://dx.doi.org/10.1080/00036810108840909.

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Gol'dberg, A. A., and I. V. Ostrovskii. "Indicators of entire absolutely monotonic functions of finite order." Siberian Mathematical Journal 27, no. 6 (1987): 811–25. http://dx.doi.org/10.1007/bf00970000.

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Skorokhodov, D. S. "On Landau-Kolmogorov problem on the interval for absolutely monotonic functions." Researches in Mathematics 17 (January 29, 2021): 120. http://dx.doi.org/10.15421/240918.

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Yang, Zhen-Hang, and Jing-Feng Tian. "Absolutely monotonic functions involving the complete elliptic integrals of the first kind with applications." Journal of Mathematical Inequalities, no. 3 (2021): 1299–310. http://dx.doi.org/10.7153/jmi-2021-15-87.

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Koumandos, Stamatis, and Henrik L. Pedersen. "Absolutely monotonic functions related to Euler’s gamma function and Barnes’ double and triple gamma function." Monatshefte für Mathematik 163, no. 1 (February 14, 2010): 51–69. http://dx.doi.org/10.1007/s00605-010-0197-9.

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Book chapters on the topic "Absolutely Monotonic Functions"

1

Lubinsky, D. S. "Even entire functions absolutely monotone in [0,∞) and weights on the whole real line." In Lecture Notes in Mathematics, 221–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0076547.

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"Generalized completely monotone functions and the condition for absolute convergence of a quasipower series (in the basic interval)." In Translations of Mathematical Monographs, 119–37. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/mmono/216/05.

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Conference papers on the topic "Absolutely Monotonic Functions"

1

Mihailovic, Biljana, Endre Pap, and Ljubo Nedovic. "Absolutely monotone real set functions." In 2009 7th International Symposium on Intelligent Systems and Informatics (SISY 2009). IEEE, 2009. http://dx.doi.org/10.1109/sisy.2009.5291182.

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Emerson, Benjamin, Julia Lundrigan, Jacqueline O’Connor, David Noble, and Tim Lieuwen. "Convective and Absolute Instabilities in Reacting Bluff Body Wakes." In ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/gt2011-45330.

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Abstract:
This paper describes the variation of bluff body wake structure with flame density ratio. It is known that the bluff body flow structure at “high” and “low” flame density ratios is fundamentally different, being dominated by the convectively unstable shear layers or absolutely unstable Von Karman vortex street, respectively. This paper characterizes the aforementioned transition and shows that the bifurcation in flow behavior does not occur abruptly at some ρu/ρb value. Rather, there exists a range of transitional density ratios at which the flow exists intermittently in both flow states, abruptly shifting back and forth between the two. The fraction of time that the flow spends in either state is a monotonic function of ρu/ρb. This behavior is to be contrasted with lower Reynolds number, laminar flow problems where the convective/absolute instability transition occurs at a well defined value of bifurcation parameter. With this distinction in mind, however, this paper also shows that local parallel stability analyses developed for laminar base wake flows can capture many of the observed flow dependencies. These results have important implications on the dynamics of high Reynolds number, vitiated flows, where typical parameter values fall into the highly intermittent flow regime characterized in this study. This suggests that such flows exhibit two co-existing dynamical states, intermittently jumping between the two.
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Michelena, Nestor F., and Alice M. Agogino. "Formal Solution of N-Type Taguchi Parameter Design Problems With Stochastic Noise Factors." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0025.

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Abstract:
Abstract The Taguchi method of product design is a statistical experimental technique aimed at reducing the variance of a product performance characteristic due to uncontrollable factors. The goal of this paper is to provide a monotonicity analysis based methodology to facilitate the solution of N-type parameter design problems. The obtained design is robust, i.e., the least sensitive to variations on uncontrollable factors (noise). The performance characteristic is unbiased in the sense that its expected value equals a target or specification. The proposed loss function is based on the absolute deviation of the characteristic with respect to the target, instead of the common square error approach. Conditions, like those imposed by monotonicity analysis, on the monotonic characteristics of the performance function are proven, despite the objective function is not monotonic and contains stochastic parameters. These conditions allow the qualitative analysis of the problem to identify the activity of some constraints. Identification of active sets of constraints allows a problem reduction strategy to be employed, where the solution to the original problem is obtained by solving a set of problems with fewer degrees of freedom. Results for the case of one uncontrollable factor are independent of the probability measure on the factor. However, conclusions for the multi-parametric case must take into account the characteristics of the probability space on which the random parameters are defined.
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