Inequalities of Hermite-Hadamard type for higher order convex functions, revisited

DOI10.3934/CPAA.2020296zbMath1462.26020OpenAlexW3115781974MaRDI QIDQ2658877

Tomasz Szostok

Publication date: 24 March 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020296

zbMATH Keywords

convex functionsStieltjes integralHermite-Hadamard inequalitiesOhlin lemma

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)

Cites Work

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• Inequalities of the Hermite-Hadamard type involving numerical differentiation formulas
• Ohlin's lemma and some inequalities of the Hermite-Hadamard type
• Characterization of higher-order monotonicity via integral inequalities
• The s-convex orders among real random variables, with applications
• 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
• Convex functions and their applications. A contemporary approach

Related Items (8)

The interplay between linear functional equations and inequalities ⋮ Old and new on the 3-convex functions ⋮ Certain fractional integral inclusions pertaining to interval-valued exponential trigonometric convex functions ⋮ On quadrature means ⋮ A generalization of a theorem of Brass and Schmeisser ⋮ On higher-rank Khovanskii-Teissier inequalities ⋮ Hermite-Hadamard type inequalities for higher-order convex functions and applications ⋮ On a discrete version of Fejér inequality for \(\alpha\)-convex sequences without symmetry condition

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