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
收藏
页码：1609 / 1616
页数：8
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