Operator inequalities among arithmetic mean, geometric mean and harmonic mean
Functional Analysis
2014-10-21 v1
Abstract
We give an upper bound for the weighted geometric mean using the weighted arithmetic mean and the weighted harmonic mean. We also give a lower bound for the weighted geometric mean. These inequalities are proven for two invertible positive operators.
Cite
@article{arxiv.1410.4905,
title = {Operator inequalities among arithmetic mean, geometric mean and harmonic mean},
author = {Shigeru Furuichi},
journal= {arXiv preprint arXiv:1410.4905},
year = {2014}
}
Comments
4 pages