Inequalities of Jensen Type for φ-Convex Functions

DOI10.1515/fascmath-2015-0013zbMath1342.26048OpenAlexW2561411658MaRDI QIDQ2809978

Sever Silvestru Dragomir

Publication date: 30 May 2016

Published in: Fasciculi Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fascmath-2015-0013

zbMATH Keywords

convex functionsintegral inequalities\(h\)-convex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Generalized Fractional Ostrowski type inequalities via ɸ - λ -convex function ⋮ Generalized fractional Ostrowski type inequalities via h-s-convex function ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Properties of \(h\)-convex functions related to the Hermite-Hadamard-Fejér inequalities
• On Jensen's inequality for a class of functions of Godunova and Levin
• \(P\)-functions, quasi-convex functions, and Hadamard-type inequalities
• The Ostrowski's integral inequality for Lipschitzian mappings and applications
• Ostrowski-type inequalities via \(h\)-convex functions with applications to special means
• Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules
• On the Godunova-Levin-Schur class of functions
• Simple proof and refinement of Hermite-Hadamard inequality
• On some Hadamard-type inequalities for h-convex functions
• Quasi-convex functions and Hadamard's inequality
• Hermite-Hadamard's inequality and the p-HH-norm on the Cartesian product of two copies of a normed space
• Convex functions

This page was built for publication: Inequalities of Jensen Type for φ-Convex Functions