Norm inequalities related to the Heron and Heinz means
Functional Analysis
2021-07-23 v1 Number Theory
Abstract
In this article, we present several inequalities treating operator means and the Cauchy-Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of the difference version of the Heinz means and further refinements of the Cauchy-Schwarz inequality. The techniques used to accomplish these results include convexity and L\"{o}wner matrices.
Keywords
Cite
@article{arxiv.1709.09813,
title = {Norm inequalities related to the Heron and Heinz means},
author = {Y. Kapil and C. Conde and M. S. Moslehian and M. Singh and M. Sababheh},
journal= {arXiv preprint arXiv:1709.09813},
year = {2021}
}
Comments
15 pages, Mediterr. J. Math.(to appear)