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On Some Recent Applications of Stochastic Convex Ordering Theorems to Some Functional Inequalities for Convex Functions: A Survey

In: Developments in Functional Equations and Related Topics

Author

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  • Teresa Rajba

    (University of Bielsko-Biala)

Abstract

This is a survey paper concerning some theorems on stochastic convex ordering and their applications to functional inequalities for convex functions. We present the recent results on those subjects.

Suggested Citation

  • Teresa Rajba, 2017. "On Some Recent Applications of Stochastic Convex Ordering Theorems to Some Functional Inequalities for Convex Functions: A Survey," Springer Optimization and Its Applications, in: Janusz Brzdęk & Krzysztof Ciepliński & Themistocles M. Rassias (ed.), Developments in Functional Equations and Related Topics, chapter 0, pages 231-274, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-61732-9_11
    DOI: 10.1007/978-3-319-61732-9_11
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    Cited by:

    1. Light, Bar & Perlroth, Andres, 2021. "The Family of Alpha,[a,b] Stochastic Orders: Risk vs. Expected Value," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    2. Ana Maria Acu & Ioan Raşa & Hari M. Srivastava, 2023. "Some Functionals and Approximation Operators Associated with a Family of Discrete Probability Distributions," Mathematics, MDPI, vol. 11(4), pages 1-9, February.

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