CONVEX FUNCTIONS AND MEANS OF MATRICES

被引：27

作者：

Sababheh, Mohammad ^{[1
]}

机构：

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

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2017年 / 20卷 / 01期

关键词：

Convex functions; Heinz means; means inequalities; unitarily invariant norm inequalities; Young's inequality; INEQUALITIES; YOUNG;

D O I：

10.7153/mia-20-03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we prove that convex functions and log-convex functions obey certain general refinements that lead to several refinements and reverses of well known inequalities for matrices, including Young's inequality, Heinz inequality, the arithmetic-harmonic and the geometric-harmonic mean inequalities.

引用

页码：29 / 47

页数：19

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