Shigeru Furuichi, Kenjiro Yanagi
Published 2014-02-04Version 1
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.
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.)
Journal: Journal of Inequalities and Applications, 2013/ 535, 1-11
On bounds of logarithmic mean and mean inequality chain
On matrix inequalities between the power means: counterexamples
On some determinant and matrix inequalities with a geometrical flavour
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