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

DOI10.1007/978-3-319-61732-9_11zbMath1387.39027arXiv1701.09036OpenAlexW2585926046MaRDI QIDQ4605221

Teresa Rajba

Publication date: 21 February 2018

Published in: Developments in Functional Equations and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.09036

zbMATH Keywords

convex functionsHermite-Hadamard inequalitiesconvex stochastic orderinghigher-order convex functions

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

Converse Ohlin's lemma for convex and strongly convex functions ⋮ Ohlin-type theorem for convex set-valued maps ⋮ Unnamed Item ⋮ The family of alpha,[a,b stochastic orders: risk vs. expected value] ⋮ Inequalities for convex functions via Stieltjes integral ⋮ Ohlin and Levin-Stečkin-type results for strongly convex functions ⋮ Bounds for indices of coincidence and entropies ⋮ A discrete probability distribution and some applications

Cites Work

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• A solution to the problem of Raşa connected with Bernstein polynomials
• Some new bounds for two mappings related to the Hermite-Hadamard inequality for convex functions
• Multidimensional Hermite-Hadamard inequalities and the convex order
• Hermite and convexity
• Error estimates for interpolatory quadrature formulae
• Convex functions, partial orderings, and statistical applications
• Two mappings in connection to Hadamard's inequalities
• Functional inequalities involving numerical differentiation formulas of order two
• Inequalities of the Hermite-Hadamard type involving numerical differentiation formulas
• Ohlin's lemma and some inequalities of the Hermite-Hadamard type
• Generalized convex inequalities
• Extensions of the Hermite-Hadamard inequality with applications
• Convex ordering properties and applications
• On convex functions of higher order
• Characterization of higher-order monotonicity via integral inequalities
• Some properties of generalized higher-order convexity
• On affine selections of set-valued functions
• Integral inequalities for concave functions with applications to special functions
• The s-convex orders among real random variables, with applications
• A best possible Hadamard inequality
• Hadamard-type inequalities for generalized convex functions
• On the Ohlin lemma for Hermite-Hadamard-Fejér type inequalities
• On strong delta-convexity and Hermite-Hadamard type inequalities for delta-convex functions of higher order
• On some extremalities in the approximate integration
• On a generalization of a theorem of Levin and Stečkin and inequalities of the Hermite-Hadamard type
• Convex functions and their applications. A contemporary approach

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