On the P\'olya-Szeg\"o operator inequality
Functional Analysis
2020-01-07 v4
Abstract
In this paper, we present generalized P\'olya-Szeg\"o type inequalities for positive invertible operators on a Hilbert space for arbitrary operator means between the arithmetic and the harmonic means. As applications, we present Operator Gr\"uss, Diaz--Metcalf and Klamkin--McLenaghan inequalities.
Cite
@article{arxiv.1805.06218,
title = {On the P\'olya-Szeg\"o operator inequality},
author = {Trung Hoa Dinh and Hamid Reza Moradi and Mohammad Sababheh},
journal= {arXiv preprint arXiv:1805.06218},
year = {2020}
}
Comments
to appear in Hacet. J. Math. Stat