ON THE MATRIX HARMONIC MEAN

被引：6

作者：

Sababheh, Mohammad ^{[1
]}

机构：

[1] Princess Sumaya Univ Technol, Dept Basic Sci, Amman 11941, Jordan

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2018年 / 12卷 / 04期

关键词：

Positive matrices; matrix means; norm inequalities; harmonic means; Heinz means; YOUNG-TYPE INEQUALITIES; INTERPOLATION;

D O I：

10.7153/jmi-2018-12-68

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main goal of this article is to present new types of inequalities refining and reversing inequalities of the harmonic mean of scalars and matrices. Furthermore, implementing the spectral decomposition of positive matrices, we present a new type of inequalities treating certain harmonic matrix perturbation.

引用

页码：901 / 920

页数：20

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