Hermite-Hadamard inequalities for generalized convex functions

DOI10.1007/s00010-004-2730-1zbMath1070.26018OpenAlexW2158450423MaRDI QIDQ1774132

Zsolt Páles, Mihály Bessenyei

Publication date: 29 April 2005

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-004-2730-1

zbMATH Keywords

Hermite-Hadamard inequalityhigher-order generalized convexityTchebychev system

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (10)

Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function ⋮ The Hermite-Hadamard inequality in Beckenbach's setting ⋮ Support-type properties of generalized convex functions ⋮ On the Hermite-Hadamard type inequalities ⋮ Support-type properties of convex functions of higher order and Hadamard-type inequalities ⋮ Korovkin type theorems and approximate Hermite-Hadamard inequalities ⋮ AN ESTIMATION OF YOUNG INEQUALITY ⋮ Higher-order quasimonotonicity and integral inequalities ⋮ On generalized strongly modified \(h\)-convex functions ⋮ New weighted Hermite-Hadamard type inequalities for differentiable strongly convex and strongly quasi-convex mappings

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