Some characterizations of h-convex functions

DOI10.7153/jmi-2022-16-53zbMath1505.26023OpenAlexW4285300236MaRDI QIDQ5093924

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Publication date: 2 August 2022

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2022-16-53

zbMATH Keywords

convex function\(h\)-convex functionequivalent characterizations

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving other types of functions (26D07)

Cites Work

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• Representation theorems for \(h\)-convexity
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• On some Hadamard-type inequalities for h-convex functions
• Hermite-Hadamard inequalities for co-ordinated log−h-convex functions
• Hermite-Hadamard type inequalities for multidimensional strongly h-convex functions
• On Some Inequalities of Simpson's Type via h-Convex Functions
• Bernstein-Doetsch type results for h-convex functions
• A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
• Inequalities of Jensen type for h-convex functions on linear spaces
• On Some Integral Inequalities via h-Convexity
• On the Hermite-Hadamard inequalities for h-convex functions on balls and ellipsoids

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