Ohlin and Levin-Stečkin-type results for strongly convex functions

DOI10.2478/AMSIL-2020-0017zbMath1466.26010OpenAlexW3044396786MaRDI QIDQ2024133

Teresa Rajba, Kazimierz Nikodem

Publication date: 3 May 2021

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2020-0017

zbMATH Keywords

stochastic orderingstrongly convex functionsHermite-Hadamard inequalitiesOhlin's lemmaLevin-Stečkin theorem

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51)

Related Items (7)

Converse Ohlin's lemma for convex and strongly convex functions ⋮ On a certain Polish Mathematician: a brief summary of scientific research and achievements of Kazimierz Nikodem, Professor of mathematics ⋮ Steklov type operators and functional equations ⋮ The interplay between linear functional equations and inequalities ⋮ Ohlin-type theorem for convex set-valued maps ⋮ Unnamed Item ⋮ A discrete probability distribution and some applications

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• On the Ohlin lemma for Hermite-Hadamard-Fejér type inequalities
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