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.
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页码：747 / 756
页数：10
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