Some inequalities for P-class functions
Functional Analysis
2020-01-22 v1
Abstract
In this paper, we provide some inequalities for -class functions and self-adjoint operators on a Hilbert space including an operator version of the Jensen's inequality and the Hermite-Hadamard's type inequality. We improve the H\"{o}lder-MacCarthy inequality by providing an upper bound. Some refinements of the Jensen type inequality for -class functions will be of interest.
Keywords
Cite
@article{arxiv.2001.06906,
title = {Some inequalities for P-class functions},
author = {Ismail Nikoufar and Davuod Saeedi},
journal= {arXiv preprint arXiv:2001.06906},
year = {2020}
}