On the integral representation and the Raşa, Jensen and Hermite-Hadamard inequalities for box-convex functions

DOI10.1007/s00025-023-01864-zOpenAlexW4323032778MaRDI QIDQ2693769

Andrzej Komisarski, Teresa Rajba

Publication date: 24 March 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-023-01864-z

zbMATH Keywords

Jensen inequalitydivided differencesstochastic convex orderingHermite--Hadamard inequalitybox-convex functions

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions of several variables, generalizations (26B25)

Related Items (1)

Functions with positive differences on convex cones

Cites Work

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• A solution to the problem of Raşa connected with Bernstein polynomials
• New integral representations of \(n\)th order convex functions
• Stochastic orders
• On a convexity problem in connection with some linear operators
• On the Raşa inequality for higher order convex functions
• An inequality involving Bernstein polynomials and box-convex functions
• An inequality involving some linear positive operators and box-convex functions
• On the Raşa inequality for higher order convex functions. II
• A new look at Popoviciu's concept of convexity for functions of two variables
• Probabilistic characterization of strong convexity
• On the Ohlin lemma for Hermite-Hadamard-Fejér type inequalities
• On a generalization of a theorem of Levin and Stečkin and inequalities of the Hermite-Hadamard type

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