Improvement and generalization of some Jensen-Mercer-type inequalities

DOI10.7153/jmi-2020-14-24zbMath1444.26036arXiv1905.01768OpenAlexW3035002262MaRDI QIDQ3304671

Shigeru Furuichi, Hamid Reza Moradi

Publication date: 3 August 2020

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

Full work available at URL: https://arxiv.org/abs/1905.01768

zbMATH Keywords

convex functionJensen inequalityJensen-Mercer inequality

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 (11)

New fractional Hermite-Hadamard-Mercer inequalities for harmonically convex function ⋮ Hermite-Jensen-Mercer type inequalities via \(\Psi\)-Riemann-Liouville \(k\)-fractional integrals ⋮ JENSEN–MERCER INEQUALITY AND RELATED RESULTS IN THE FRACTAL SENSE WITH APPLICATIONS ⋮ FRACTAL HADAMARD–MERCER-TYPE INEQUALITIES WITH APPLICATIONS ⋮ Refinements of Jensen's inequality via majorization results with applications in the information theory ⋮ Generalized fractional integral inequalities for MT-non-convex and \(pq\)-convex functions ⋮ The Hermite-Hadamard-Mercer type inequalities via generalized proportional fractional integral concerning another function ⋮ On some inequalities for uniformly convex mapping with estimations to normal distributions ⋮ Unnamed Item ⋮ Properties of Pečarić-type functions and applications ⋮ New fractional estimates of Simpson-Mercer type for twice differentiable mappings pertaining to Mittag-Leffler kernel

Cites Work

• Unnamed Item
• Unnamed Item
• Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces
• A variant of Jensen's inequality of Mercer's type for operators with applications
• An extension of Jensen's operator inequality and its application to Young inequality
• An interpolation of Jensen's inequality and its applications to mean inequalities
• Refinements of the operator Jensen-Mercer inequality

This page was built for publication: Improvement and generalization of some Jensen-Mercer-type inequalities