Bounds of the logarithmic mean
Functional Analysis
2014-02-05 v1
Abstract
We give tight bounds for logarithmic mean. We also give new Frobenius norm inequalities for two positive semidefinite matrices. In addition, we give some matrix inequalities on matrix power mean.
Cite
@article{arxiv.1402.0613,
title = {Bounds of the logarithmic mean},
author = {Shigeru Furuichi and Kenjiro Yanagi},
journal= {arXiv preprint arXiv:1402.0613},
year = {2014}
}
Comments
The second assertion in (i) of Proposition 5.2 was modified. (This modification shows our means are better bounds than the standard Riemann sum for the logarithmic mean.)