SOME LOWER AND UPPER BOUNDS FOR RELATIVE OPERATOR ENTROPY

被引:0
作者
Moradi, H. R. [1 ]
Hosseini, M. Shah [1 ]
Omidvar, M. E. [1 ]
Dragomir, S. S. [2 ]
机构
[1] Islamic Azad Univ, Mashhad Branch, Dept Math, Mashhad, Iran
[2] Victoria Univ, Math, Coll Engn & Sci, POB 14428, Melbourne City, MC 8001, Australia
来源
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2017年 / 79卷 / 03期
关键词
Relative operator entropy; Tsallis relative operator entropy; operator inequality; INEQUALITIES; TSALLIS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The relation between related operator entropy S (A vertical bar B) and Tsallis relative operator entropy T-p (A vertical bar B) was firstly considered by Fujii and Kamei, as follows: T-p (A vertical bar B) <= S (A vertical bar B) <= T-p (A vertical bar B), p is an element of (0,1] where A, B are positive invertible operators. The aim of this paper is to establish some refinements for above inequality.
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页码:97 / 106
页数:10
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