Some inequalities on $h$-convex functions
Functional Analysis
2020-03-31 v1
Abstract
In this paper, we state some characterizations of -convex function is defined on a convex set in a linear space. By doing so, we extend the Jensen-Mercer inequality for -convex function. We will also define -convex function for operators on a Hilbert space and present the operator version of the Jensen-Mercer inequality. Lastly, we propound the complementary inequality of Jensen's inequality for -convex functions.
Cite
@article{arxiv.2003.12714,
title = {Some inequalities on $h$-convex functions},
author = {M. Abbasi and A. Morassaei and F. Mirzapour},
journal= {arXiv preprint arXiv:2003.12714},
year = {2020}
}