On Hadamard's inequality for \(h\)-convex function on a disk

DOI10.1016/j.amc.2014.02.085zbMath1334.26053OpenAlexW1971588455MaRDI QIDQ272382

Marian Matłoka

Publication date: 20 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.085

zbMATH Keywords

convex function\(s\)-convex function\(h\)-convex functionHadamard's inequality

Mathematics Subject Classification ID

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 (9)

New Jensen and Hermite-Hadamard type inequalities for \(h\)-convex interval-valued functions ⋮ Sharp estimation type inequalities for Lipschitzian mappings in Euclidean sense on a disk ⋮ Some characterizations of h-convex functions ⋮ Some Hermite-Hadamard type integral inequalities for convex functions defined on convex bodies in \(\mathbb{R}^n\) ⋮ Sharp trapezoid and mid-point type inequalities on closed balls in \(\mathbb{R}^3\) ⋮ Hermite-Hadamard inequalities for co-ordinated log−h-convex functions ⋮ Some triple integral inequalities for functions defined on three-dimensional bodies via Gauss-Ostrogradsky identity ⋮ On the Hermite-Hadamard inequalities for h-convex functions on balls and ellipsoids ⋮ Hermite-Hadamard type inequalities for multidimensional strongly h-convex functions

Cites Work

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• On \(h\)-convexity
• On some Hadamard-type inequalities for h-convex functions
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE

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