On the Lawson–Lim means and Karcher mean for positive invertible operators

Abstract This note aims to 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 weighted Karcher mean and Lawson–Lim geometric mean for higher powers.

Bibliographic Details
Main Authors: Wenshi Liao, Pujun Long, Zemin Ren, Junliang Wu
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1817-5