A note on the Hermite-Hadamard inequality

DOI10.7153/jmi-04-52zbMath1208.26033OpenAlexW2317162280MaRDI QIDQ3067052

Xiang Gao

Publication date: 20 January 2011

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

Full work available at URL: http://files.ele-math.com/abstracts/jmi-04-52-abs.pdf

zbMATH Keywords

Jensen's inequalityconvex functionsHermite-Hadamard inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (14)

Midpoint inequalities via strong convexity using positive weighted symmetry kernels ⋮ New Jensen and Hermite-Hadamard type inequalities for \(h\)-convex interval-valued functions ⋮ Unnamed Item ⋮ On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals via two kinds of convexity ⋮ Generalizations of inequalities for differentiable co-ordinated convex functions ⋮ On Hermite-Hadamard type inequalities for functions whose second derivatives absolute values are \(s\)-convex ⋮ Integral inequalities of the Hermite-Hadamard type for \(K\)-bounded norm-convex mappings ⋮ Vector norm inequalities for power series of operators in Hilbert spaces ⋮ Generalized Hermite--Hadamard's inequality for functions convex on the coordinates ⋮ Refinements of the integral form of Jensen's and the Lah-Ribarič inequalities and applications for Csiszár divergence ⋮ A new Hermite-Hadamard type inequality for coordinate convex function ⋮ On the generalization of some Hermite-Hadamard inequalities for functions with convex absolute values of the second derivatives via fractional integrals ⋮ On Hermite-Hadamard type inequalities for \(s\)-convex functions on the coordinates via Riemann-Liouville fractional integrals ⋮ On some integral inequalities related to Hermite-Hadamard-Fejér inequalities for coordinated convex functions

This page was built for publication: A note on the Hermite-Hadamard inequality