Bernstein-Doetsch type results for h-convex functions

DOI10.7153/mia-14-42zbMath1223.26020OpenAlexW2319832181MaRDI QIDQ5200225

Attila Házy

Publication date: 1 August 2011

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-14-42

zbMATH Keywords

Bernstein-Doetsch theorem\(h\)-convexity\(s\)-convexityregularity properties of generalized convex functions

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (12)

Properties and bounds of Jensen-type functionals via harmonic convex functions ⋮ Some characterizations of h-convex functions ⋮ Unnamed Item ⋮ Strong \(h\)-convexity and separation theorems ⋮ Representation theorems for \(h\)-convexity ⋮ A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality ⋮ Unnamed Item ⋮ Hermite-Hadamard inequalities for co-ordinated log−h-convex functions ⋮ Unnamed Item ⋮ On the Hermite-Hadamard inequalities for h-convex functions on balls and ellipsoids ⋮ Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals via strongly h-convex functions ⋮ Hermite-Hadamard type inequalities for multidimensional strongly h-convex functions

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