Reverse arithmetic-harmonic mean and mixed mean operator inequalities

被引：9

作者：

Liao, Wenshi ^{[1
]}

Wu, Junliang ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math& Stat, Chongqing 401331, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

arithmetic-harmonic mean; mixed mean; Kantorovich constant; operator inequalities; YOUNG;

D O I：

10.1186/s13660-015-0735-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note aims to present some scalar inequalities and operator inequalities on a Hilbert space. Firstly, the direct reverse weighted arithmetic-harmonic mean inequalities for scalars are obtained. Secondly, based on these scalar inequalities, the corresponding operator inequalities are established. Finally, we present the mixed arithmetic-geometric and geometric-harmonic means inequalities for two positive operators.

引用

页数：14

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