Relevant bibliographies by topics / Quasi-convex Functions

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Quasi-convex Functions'

Author: Grafiati
Published: 9 March 2023
Last updated: 10 March 2023

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Journal articles on the topic "Quasi-convex Functions"

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Liu, Zheng. "ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS." Issues of Analysis 22, no. 2 (December 2015): 45–64. http://dx.doi.org/10.15393/j3.art.2015.2869.

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Zhang, Kewei. "Quasi-convex functions on subspaces and boundaries of quasi-convex sets." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 134, no. 4 (August 2004): 783–99. http://dx.doi.org/10.1017/s0308210500003486.

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We embed truncations of the epi-graph of quasi-convex functions defined on linear subspaces E ⊂ MN × n of real matrices into MN × n to bound quasi-convex sets by the graph of the functions. We also characterize subspaces E on which all quasi-convex functions are convex and show, by using the Tarski–Seidenberg theorem in real algebraic geometry, that if dim (E) > N + n − 1, then there exist non-trivial quasi-convex functions on E.
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Beer, G., and R. Lucchetti. "Minima of quasi-convex functions." Optimization 20, no. 5 (January 1989): 581–96. http://dx.doi.org/10.1080/02331938908843480.

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Ubhaya, Vasant A. "Uniform approximation by quasi-convex and convex functions." Journal of Approximation Theory 55, no. 3 (December 1988): 326–36. http://dx.doi.org/10.1016/0021-9045(88)90099-8.

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Ubhaya, Vasant A. "Lp approximation by quasi-convex and convex functions." Journal of Mathematical Analysis and Applications 139, no. 2 (May 1989): 574–85. http://dx.doi.org/10.1016/0022-247x(89)90130-3.

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Hazim, Revan I., and Saba N. Majeed. "Quasi Semi and Pseudo Semi (p,E)-Convexity in Non-Linear Optimization Programming." Ibn AL-Haitham Journal For Pure and Applied Sciences 36, no. 1 (January 20, 2023): 355–66. http://dx.doi.org/10.30526/36.1.2928.

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The class of quasi semi -convex functions and pseudo semi -convex functions are presented in this paper by combining the class of -convex functions with the class of quasi semi -convex functions and pseudo semi -convex functions, respectively. Various non-trivial examples are introduced to illustrate the new functions and show their relationships with -convex functions recently introduced in the literature. Different general properties and characteristics of this class of functions are established. In addition, some optimality properties of generalized non-linear optimization problems are discussed. In this generalized optimization problems, we used, as the objective function, quasi semi -convex (respectively, strictly quasi semi -convex functions and pseudo semi -convex functions), and the constraint set is -convex set.
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Hinderer, A., and M. Stieglitz. "Minimization of quasi-convex symmetric and of discretely quasi-convex symmetric functions." Optimization 36, no. 4 (January 1996): 321–32. http://dx.doi.org/10.1080/02331939608844187.

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Meftah, B., and A. Souahi. "Cebyšev inequalities for co-ordinated \(QC\)-convex and \((s,QC)\)-convex." Engineering and Applied Science Letters 4, no. 1 (January 23, 2021): 14–20. http://dx.doi.org/10.30538/psrp-easl2021.0057.

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In this paper, we establish some new Cebyšev type inequalities for functions whose modulus of the mixed derivatives are co-ordinated quasi-convex and \(\alpha \)-quasi-convex and \(s\)-quasi-convex functions.
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Youness, Ebrahim A. "Quasi and strictly quasiE-convex functions." Journal of Statistics and Management Systems 4, no. 2 (January 2001): 201–10. http://dx.doi.org/10.1080/09720510.2001.10701038.

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Ivanenko, Y., M. Nedic, M. Gustafsson, B. L. G. Jonsson, A. Luger, and S. Nordebo. "Quasi-Herglotz functions and convex optimization." Royal Society Open Science 7, no. 1 (January 2020): 191541. http://dx.doi.org/10.1098/rsos.191541.

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We introduce the set of quasi-Herglotz functions and demonstrate that it has properties useful in the modelling of non-passive systems. The linear space of quasi-Herglotz functions constitutes a natural extension of the convex cone of Herglotz functions. It consists of differences of Herglotz functions and we show that several of the important properties and modelling perspectives are inherited by the new set of quasi-Herglotz functions. In particular, this applies to their integral representations, the associated integral identities or sum rules (with adequate additional assumptions), their boundary values on the real axis and the associated approximation theory. Numerical examples are included to demonstrate the modelling of a non-passive gain medium formulated as a convex optimization problem, where the generating measure is modelled by using a finite expansion of B-splines and point masses.
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Dissertations / Theses on the topic "Quasi-convex Functions"

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PERI, ILARIA. "Quasi-convex risk measures and acceptability indices. Theory and applications." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2012. http://hdl.handle.net/10281/29745.

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This thesis is organized in two parts: in the first one, we treat risk measures and acceptability indices from a theoretical point of view, while in the second part, we propose two applications of the quasi-convex results. The first contribute of the thesis regards the dual representation of quasi-convex and monotone maps. In particular, we compare the dual representation proposed by Cerreia-Vioglio et al (2011) and Drapeau and Kupper (2010) and we prove that they coincide. On the light of this comparison, we also propose a new representation for the quasi-concave and monotone acceptability indices. In the second part of the thesis we propose two different applications of the quasi- convex analysis to different sectors. The common idea has been to build a quasi-convex risk measure defining a particular family of acceptability sets, taking inspiration from the papers of Cherny and Madan (2009) and Drapeau and Kupper (2010). The first application is to the financial sector. We introduce a new class of law invariant risk measures, directly defined on the set P(R) of probability measures on R, that are monotone and quasi-convex on P(R). We build these maps by an appropriate family of acceptance sets of distribution functions. We study the properties of such maps and we provide some example. In particular, we propose a generalization of the classical notion of the V@R_λ, called ΛV@R, that takes into account not only the probability λ of the losses, but the balance between such probability and the amount of the loss. The V@R_λ and other known law invariant risk measures turn out to be special cases of our proposal. We further prove the dual representation of Risk Measures on P(R). The second application is to the evaluation of the scientific research. We introduce a new family of scientific performance measures, called Scientific Research Measures (SRM). This proposal originates from the recent developments in the theory of quasi-convex risk measures and is an attempt to resolve the many problems of the existing bibliometric indices. The key idea underlying the definition of SRM is the representation of quasi-concave monotone maps in terms of a family of acceptance sets. Through this approach, the SRMs are: flexible to fit peculiarities of different areas and seniorities; inclusive, as they comprehend several popular indices; coherent, as they share the same structural properties; calibrated to the particular scientific community; granular, as they allow a more precise comparison between scientists and are based on the whole scientist’s citation curve. We also provide a dual representation of a SRM, that suggests a new interesting approach to the whole area of bibliometric indices. Finally, we present a method to compute a particular SRM, called φ-index, and some result obtained by the calibration to a specific scientific sector.
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Tsai, Huang-Kai, and 蔡黃凱. "Some Inequalities of Hermite-Hadamerd’s type for quasi-convex functions." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/29705608354076104528.

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碩士
淡江大學
中等學校教師在職進修數學教學碩士學位班
100
The main purpose of this paper is to establish inequalities related to the right hand side of Hermite-Hadamard’s type for function whose derivatives in absolute value are quasi-convex .
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Hsieh, Chin-Yu, and 謝瑾瑜. "Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/97152986030613141889.

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Abstract:
碩士
淡江大學
中等學校教師在職進修數學教學碩士學位班
100
The main purpose of this paper is to establish some inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex , and some error estimates for the generalized midpoint formula . The obtained results can be used to give estimates for the approximation error of the integral by the use of the midpoint formula .
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Books on the topic "Quasi-convex Functions"

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Komlósi, S. Second order conditions of generalized convexity and local optimality in nonlinear programming: The quasi-Hessian approach. Pécs [Hungary]: Janus Pannonius Tudományegyetem, 1985.

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Book chapters on the topic "Quasi-convex Functions"

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Kythe, Prem K. "Quasi-Convex Functions." In Elements of Concave Analysis and Applications, 179–96. Boca Raton, Florida : CRC Press, [2018]: Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9781315202259-7.

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Noor, Khalida Inayat. "On Alpha-Quasi-Convex Functions Defined by Convolution with Incomplete Beta Functions." In Analytic and Geometric Inequalities and Applications, 265–76. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4577-0_16.

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Oettli, W. "Decomposition Schemes for Finding Saddle Points of Quasi-Convex-Concave Functions." In Quantitative Methoden in den Wirtschaftswissenschaften, 31–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-74306-1_3.

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Decock, Jérémie, and Olivier Teytaud. "Linear Convergence of Evolution Strategies with Derandomized Sampling Beyond Quasi-Convex Functions." In Lecture Notes in Computer Science, 53–64. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11683-9_5.

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Vivas-Cortez, Miguel, Seth Kermausuor, and Juan E. Nápoles Valdés. "Hermite–Hadamard Type Inequalities for Coordinated Quasi-Convex Functions via Generalized Fractional Integrals." In Forum for Interdisciplinary Mathematics, 275–96. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-0668-8_16.

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Yamada, Isao, Masahiro Yukawa, and Masao Yamagishi. "Minimizing the Moreau Envelope of Nonsmooth Convex Functions over the Fixed Point Set of Certain Quasi-Nonexpansive Mappings." In Springer Optimization and Its Applications, 345–90. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-9569-8_17.

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Römisch, Werner. "ANOVA Decomposition of Convex Piecewise Linear Functions." In Monte Carlo and Quasi-Monte Carlo Methods 2012, 581–96. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-41095-6_30.

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"4.2. Multifunctions and Constraint Sets Defined by Quasi- convex Polynomial Functions." In Parametric Integer Optimization, 46–61. De Gruyter, 1988. http://dx.doi.org/10.1515/9783112472668-008.

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"Establishment of Real LMIs for the Quasi-Convex Problem of Optimization of the Weighting Functions." In Loop-shaping Robust Control, 251–53. Hoboken, NJ USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118575246.app2.

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"Quasi-convex Function." In Encyclopedia of Operations Research and Management Science, 1227–28. Boston, MA: Springer US, 2013. http://dx.doi.org/10.1007/978-1-4419-1153-7_200674.

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Conference papers on the topic "Quasi-convex Functions"

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Yıldız, Çetin, and Mustafa Gürbüz. "Integral inequalities for quasi-convex functions and applications." In II. INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2017. Author(s), 2017. http://dx.doi.org/10.1063/1.4981685.

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Set, Erhan, and Necla Korkut. "On new fractional integral inequalities for quasi-convex functions." In II. INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2017. Author(s), 2017. http://dx.doi.org/10.1063/1.4981700.

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Özdemir, M. Emin, Çetin Yıldız, Ahmet Ocak Akdemir, and Erhan Set. "New inequalities of Hadamard type for quasi-convex functions." In FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS: ICAAM 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4747649.

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Yıldız, Çetin, and M. Emin Özdemir. "New generalized inequalities of Hermite-Hadamard type for quasi-convex functions." In INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016. Author(s), 2016. http://dx.doi.org/10.1063/1.4945879.

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Set, Erhan, Abdurrahman Gözpınar, and Filiz Demirci. "Hermite-Hadamard type inequalities for quasi-convex functions via new fractional conformable integrals." In 1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018). Author(s), 2018. http://dx.doi.org/10.1063/1.5047875.

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Set, Erhan, Nazlı Uygun, and Muharrem Tomar. "New inequalities of Hermite-Hadamard type for generalized quasi-convex functions with applications." In INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016. Author(s), 2016. http://dx.doi.org/10.1063/1.4945865.

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Set, Erhan, M. Emin Özdemir, and Nazlı Uygun. "On new Simpson type inequalities for quasi-convex functions via Riemann-Liouville integrals." In INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016. Author(s), 2016. http://dx.doi.org/10.1063/1.4945894.

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Goh, Jiun Shyan, and Aini Janteng. "Estimate on the second Hankel determinant for a subclass of quasi-convex functions." In INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013): Proceedings of the International Conference on Mathematical Sciences and Statistics 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4823944.

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Set, Erhan, M. Emin Özdemir, and E. Aykan Alan. "On new fractional Hermite-Hadamard type inequalities for n-time differentiable quasi-convex functions and P–functions." In II. INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2017. Author(s), 2017. http://dx.doi.org/10.1063/1.4981679.

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Set, Erhan, Barış Çelik, and Ahmet Ocak Akdemir. "Some new Hermite-Hadamard type inequalities for quasi-convex functions via fractional integral operator." In II. INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2017. Author(s), 2017. http://dx.doi.org/10.1063/1.4981669.

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