On the matrix harmonic mean
Functional Analysis
2018-05-18 v1
Abstract
The main goal of this article is to present new types of inequalities refining and reversing inequalities of the harmonic mean of scalars and matrices. Furthermore, implementing the spectral decomposition of positive matrices, we present a new type of inequalities treating certain harmonic matrix perturbation.
Cite
@article{arxiv.1805.06613,
title = {On the matrix harmonic mean},
author = {Mohammad Sababheh},
journal= {arXiv preprint arXiv:1805.06613},
year = {2018}
}
Comments
This article will appear in the Journal of Mathematical Inequalities