On the power means and Lawson-Lim means for positive invertible operators

2015/05/18 by Wenshi Liao, Liao, Wenshi, Junliang Wu +3
Mathematics · #Mathematical Inequalities and Applications #Functional Equations Stability Results #Approximation Theory and Sequence Spaces

paper · pdf · doi:10.48550/arxiv.1505.04520

Abstract

This note aims to present some reverse inequalities about the power means and Karcher mean via the Kantorovich constant and some of these have been generalized to higher power. Also, we generalize the reverse weighted arithmetic-geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the Karcher mean and Lawson-Lim geometric mean for higher power.

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