Mond and Pe$\check{c}$ari$\acute{c}$ inequality for $h$-convex functions with applications
Functional Analysis
2022-01-19 v1
Abstract
In this paper, we prove an operator version of the Jensen's inequality and its converse for -convex functions. We provide a refinement of the Jensen type inequality for -convex functions. Moreover, we prove the Hermite-Hadamard's type inequality and a multiple operator version of the Jensen's inequality for -convex functions. In particular, a result for convex, -class, -convex, Godunova-Levin, and -Godunova-Levin functions can be deduced.
Keywords
Cite
@article{arxiv.2201.05862,
title = {Mond and Pe$\check{c}$ari$\acute{c}$ inequality for $h$-convex functions with applications},
author = {Ismail Nikoufar and Davuod Saeedi},
journal= {arXiv preprint arXiv:2201.05862},
year = {2022}
}