Bounds of the logarithmic mean
arXiv:1402.0613 · doi:10.1186/1029-242X-2013-535
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.
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.)