Complementary Inequalities to Improved AM-GM Inequality

被引：0

作者：

Hamid Reza MORADI ^{[1
]}

Mohsen Erfanian OMIDVAR ^{[1
]}

机构：

[1] Department of Mathematics, Mashhad Branch, Islamic Azad University

来源：

Acta Mathematica Sinica,English Series | 2017年 / 12期

关键词：

Operator inequalities; positive linear maps; operator norm; Kantorovich inequality; Wielandt inequality;

D O I：

暂无

中图分类号：

O178 [不等式及其他];

学科分类号：

0701 ; 070101 ;

摘要：

Following an idea of Lin, we prove that if A and B are two positive operators such that 0 < mI ≤ A ≤m’I≤ M’I ≤ B ≤ MI, then Φ;（A+B/2）≤K;（h）/(1+（logM’/m’/g）);Φ;（A≠B） and Φ;（A+B/2）≤K;（h）/(1+（logM’/m’/g）);(Φ（A）≠Φ（B）);where K（h）=（h+1）;/4 and h = M/m and Φ is a positive unital linear map.

引用

页码：1609 / 1616

页数：8

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