A NOTE ON INEQUALITIES FOR TSALLIS RELATIVE OPERATOR ENTROPY

被引:0
|
作者
Zou, L. [1 ]
Jiang, Y. [1 ]
机构
[1] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404100, Peoples R China
来源
关键词
Relative operator entropy; Tsallis relative operator entropy; operator inequalities;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this short note, we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy, Math. Inequal. Appl. 18 (2015), no. 2, 401-406]. Meanwhile, we also show some new lower and upper bounds for relative operator entropy and Tsallis relative operator entropy.
引用
收藏
页码:855 / 859
页数:5
相关论文
共 50 条
  • [31] Tsallis Relative Entropy and Anomalous Diffusion
    Prehl, Janett
    Essex, Christopher
    Hoffmann, Karl Heinz
    ENTROPY, 2012, 14 (04) : 701 - 716
  • [32] OPERATOR ENTROPY INEQUALITIES
    Moslehian, M. S.
    Mirzapour, F.
    Morassaei, A.
    COLLOQUIUM MATHEMATICUM, 2013, 130 (02) : 159 - 168
  • [33] Fundamental properties of Tsallis relative entropy
    Furuichi, S
    Yanagi, K
    Kuriyama, K
    JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (12) : 4868 - 4877
  • [34] Relative entropy and Tsallis entropy of two accretive operators
    Raissouli, Mustapha
    Moslehian, Mohammad Sal
    Furuichi, Shigeru
    COMPTES RENDUS MATHEMATIQUE, 2017, 355 (06) : 687 - 693
  • [35] RELATIVE OPERATOR ENTROPIES AND TSALLIS RELATIVE OPERATOR ENTROPIES IN JB-ALGEBRAS
    Wang, Shuzhou
    Wang, Zhenhua
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (03) : 1073 - 1087
  • [36] Variational representations related to Tsallis relative entropy
    Guanghua Shi
    Frank Hansen
    Letters in Mathematical Physics, 2020, 110 : 2203 - 2220
  • [37] Coherence measure in terms of the Tsallis relative α entropy
    Haiqing Zhao
    Chang-shui Yu
    Scientific Reports, 8
  • [38] Fuzzy Divergences Based on Tsallis Relative Entropy
    Rong, Lan
    Jiu-lun, Fan
    QUANTITATIVE LOGIC AND SOFT COMPUTING 2010, VOL 2, 2010, 82 : 359 - 368
  • [39] Variational representations related to Tsallis relative entropy
    Shi, Guanghua
    Hansen, Frank
    LETTERS IN MATHEMATICAL PHYSICS, 2020, 110 (08) : 2203 - 2220
  • [40] Coherence measure in terms of the Tsallis relative α entropy
    Zhao, Haiqing
    Yu, Chang-shui
    SCIENTIFIC REPORTS, 2018, 8