Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions

DOI10.22075/ijnaa.2017.1621.1427zbMath1387.39028OpenAlexW2624215637MaRDI QIDQ3133765

Ilknur Yesilce, Gabil R. Adilov

Publication date: 5 February 2018

Full work available at URL: https://ijnaa.semnan.ac.ir/article_2503_47aad633f8dde9d4ebbec7a4f5100c63.pdf

zbMATH Keywords

abstract convexityHermite-Hadamard inequality\(\mathbb{B}\)-convex functions\(\mathbb{B}^{-1}\)-convex functions

Mathematics Subject Classification ID

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

Related Items (10)

The Hermite-Hadamard inequality for \(s\)-convex functions in the third sense ⋮ The Hermite-Hadamard inequalities for $p$-convex functions ⋮ Fejer inequality for s-convex functions in the fourth sense ⋮ Hermite-Hadamard type inequalities for B-1-convex functions involving generalized fractional integral operators ⋮ A refinement of the Bergström inequality ⋮ New integral inequalities for \(s\)-convex functions of the second sense via the Caputo fractional derivative and the Caputo-Fabrizio integral operator ⋮ The sharper version for generalized power mean inequalities with negative exponent ⋮ The Popoviciu type inequalities for s-convex functions in the third sense ⋮ The sharper form of a Brunn-Minkowski type inequality for boxes ⋮ Inequalities for \(\mathbb{B}\)-convex functions via generalized fractional integral

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