OPERATOR INEQUALITIES INVOLVING THE ARITHMETIC, GEOMETRIC, HEINZ AND HERON MEANS

被引：13

作者：

Zhao, Jianguo ^{[1
,2
]}

Wu, Junliang ^{[2
]}

Cao, Haisong ^{[2
]}

Liao, Wenshi ^{[2
]}

机构：

[1] Shihezi Univ, Coll Sci, Shihezi 832003, Xinjiang, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2014年 / 8卷 / 04期

关键词：

Heinz means; operator inequality; positive operator; Kantorovich constant; Heron mean; YOUNG INEQUALITIES; HILBERT-SPACE;

D O I：

10.7153/jmi-08-56

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present two improved arithmetic-geometric inequalities with Kantorovich constant (Lemma 3 and Lemma 5), based on which we provide some refinements in the operator case and then finally refer to the operator inequalities involving Heinz and Heron means.

引用

页码：747 / 756

页数：10

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