Improved operator inequalities of some relative operative entropies

被引：14
|
作者：
Nikoufar, Ismail [1 ]
机构：
[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran
来源：
POSITIVITY | 2020年 / 24卷 / 01期
关键词：
Operator inequalities; Generalized relative operator entropy; Operator geometric mean; Noncommutative perspective; PERSPECTIVES; CONCAVITY;
D O I：
10.1007/s11117-019-00680-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the lower and upper bound of the relative operator (alpha,beta)\-entropy. We refine and improve the lower and upper bound of the relative operator entropy and generalized relative operator entropy. As a consequence of our result, the bounds of the relative operator entropy announced by Fujii and Kamei will improve.
引用
收藏
页码：241 / 251
页数：11
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