Symmetrized convexity and Hermite-Hadamard type inequalities

DOI10.7153/jmi-10-74zbMath1354.26033OpenAlexW2559831126MaRDI QIDQ2957000

Sever Silvestru Dragomir

Publication date: 20 January 2017

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-10-74

zbMATH Keywords

convex functionsintegral inequalitiesHermite-Hadamard inequality\(h\)-convex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

On symmetrized stochastic convexity and the inequalities of Hermite-Hadamard type ⋮ Integral inequalities within the framework of generalized fractional integrals ⋮ Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities involving fractional integral operators ⋮ Continuous symmetrization and continuous increasing refinements of inequalities and monotonicity of eigenvalues ⋮ Unnamed Item ⋮ Some new Hermite-Hadamard and Fejer type inequalities without convexity/concavity ⋮ Hermite-Hadamard-Fejér type inequalities involving generalized fractional integral operators ⋮ Symmetrized GA-convexity and related some integral inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• An Ostrowski like inequality for convex functions and applications.
• Univariate Ostrowski inequalities, revisited
• \(P\)-functions, quasi-convex functions, and Hadamard-type inequalities
• The Ostrowski's integral inequality for Lipschitzian mappings and applications
• 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
• On some Hadamard-type inequalities for h-convex functions
• Quasi-convex functions and Hadamard's inequality
• THE JENSEN INEQUALITY FOR s-BRECKNER CONVEX FUNCTIONS IN LINEAR SPACES
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
• SOME OSTROWSKI TYPE INEQUALITIES FOR π-ΤΙΜΕ DIFFERENTIABLE MAPPINGS AND APPLICATIONS
• Hermite-Hadamard's inequality and the p-HH-norm on the Cartesian product of two copies of a normed space

This page was built for publication: Symmetrized convexity and Hermite-Hadamard type inequalities