SOME LOWER AND UPPER BOUNDS FOR RELATIVE OPERATOR ENTROPY

作者：Moradi H R^*; Hosseini M Shah; Omidvar M E; Dragomir S S

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2017, 79(3): 97-106.

• Relative operator entropy
• Tsallis relative operator entropy
• operator inequality

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.

• 出版日期2017