On the Hermite-Hadamard inequalities for h-convex functions on balls and ellipsoids

DOI10.2298/FIL1918871WzbMath1499.26198OpenAlexW3003002949WikidataQ126304796 ScholiaQ126304796MaRDI QIDQ5864389

Xinsheng Ma, Jianmiao Ruan, Xiao Qian Wang

Publication date: 7 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1918871w

zbMATH Keywords

Hermite-Hadamard inequality\(h\)-convex functionhigh-dimensional ballhigh-dimensional ellipsoid

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)

Related Items (3)

Some characterizations of h-convex functions ⋮ Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals via strongly h-convex functions ⋮ Hermite-Hadamard type inequalities for multidimensional strongly h-convex functions

Cites Work

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• On some Hadamard-type inequalities for h-convex functions
• On Hadamard's inequality for the convex mappings defined on a ball in the space and applications
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
• Bernstein-Doetsch type results for h-convex functions

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