Operator mean inequalities and Kwong functions
Functional Analysis
2024-05-10 v1 Operator Algebras
Abstract
In this paper, we study operator mean inequalities for the weighted arithmetic, geometric and harmonic means. We give a slight modification of Audenaert's result to show the relation between Kwong functions and operator monotone functions. Operator mean inequalities provide some analogs of the geometric concavity property for Kwong functions, operator convex, and operator monotone functions. Moreover, we give our points across by way of some examples which show the usage of our main results.
Cite
@article{arxiv.2405.05290,
title = {Operator mean inequalities and Kwong functions},
author = {Nahid Gharakhanlu and Mohammad Sal Moslehian and Hamed Najafi},
journal= {arXiv preprint arXiv:2405.05290},
year = {2024}
}
Comments
Accepted by Arch. Math. (Basel)