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

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Developments in Functional Equations and Related Topics

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 124))

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Bielsko-Biala, Willowa 2, 43-309, Bielsko-Biala, Poland

    Teresa Rajba

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  1. Teresa Rajba
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Correspondence to Teresa Rajba .

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Editors and Affiliations

  1. Department of Mathematics, Pedagogical University of Cracow, Kraków,, Poland

    Janusz Brzdęk

  2. Faculty of Applied Mathematics, AGH University of Science and Technology, Kraków, Poland

    Krzysztof Ciepliński

  3. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Rajba, T. (2017). On Some Recent Applications of Stochastic Convex Ordering Theorems to Some Functional Inequalities for Convex Functions: A Survey. In: Brzdęk, J., Ciepliński, K., Rassias, T. (eds) Developments in Functional Equations and Related Topics . Springer Optimization and Its Applications, vol 124. Springer, Cham. https://doi.org/10.1007/978-3-319-61732-9_11

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