OPERATOR INEQUALITIES AMONG ARITHMETIC MEAN, GEOMETRIC MEAN AND HARMONIC MEAN

被引：8

作者：

Furuichi, Shigeru ^{[1
]}

机构：

[1] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, Setagaya Ku, Tokyo 1568550, Japan

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2014年 / 8卷 / 03期

关键词：

Operator inequality; operator mean; HILBERT-SPACE;

D O I：

10.7153/jmi-08-49

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an upper bound for the weighted geometric mean using the weighted arithmetic mean and the weighted harmonic mean. We also give a lower bound for the weighted geometric mean. These inequalities are proven for two invertible positive operators.

引用

页码：669 / 672

页数：4

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