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：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2016年 / 42卷 / 04期
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
  • [21] Two reverse inequalities associated with Tsallis relative operator entropy via generalized Kantorovich constant and their applications
    Furuta, T
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 412 (2-3) : 526 - 537
  • [22] Matrix trace inequalities on Tsallis relative entropy of negative order
    Seo, Yuki
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 472 (02) : 1499 - 1508
  • [23] Some sharp bounds for the generalized Tsallis relative operator entropy
    Nikoufar, Ismail
    Dragomir, Silvestru Sever
    FILOMAT, 2024, 38 (15) : 5299 - 5311
  • [24] A complementary inequality to the information monotonicity for Tsallis relative operator entropy
    Moradi, Hamid Reza
    Furuichi, Shigeru
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (08): : 1557 - 1567
  • [25] Quantifying quantum coherence based on the Tsallis relative operator entropy
    Guo, Meng-Li
    Jin, Zhi-Xiang
    Li, Bo
    Hu, Bin
    Fei, Shao-Ming
    QUANTUM INFORMATION PROCESSING, 2020, 19 (10)
  • [26] Quantifying quantum coherence based on the Tsallis relative operator entropy
    Meng-Li Guo
    Zhi-Xiang Jin
    Bo Li
    Bin Hu
    Shao-Ming Fei
    Quantum Information Processing, 2020, 19
  • [27] On uniqueness theorems for Tsallis entropy and Tsallis relative entropy
    Furuichi, S
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (10) : 3638 - 3645
  • [28] ON SOME TSALLIS RELATIVE OPERATOR ENTROPY PROPERTIES RELATED TO HELLINGER METRICS
    El Hilali, Abdenbi
    Chergui, Mohamed
    El Wahbi, Bouazza
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2022, 48 (02): : 259 - 273
  • [29] New Refinements of Some Inequalities Involving Relative Operator Entropy
    S. Soleimani
    A. G. Ghazanfari
    Complex Analysis and Operator Theory, 2019, 13 : 3337 - 3345
  • [30] New Refinements of Some Inequalities Involving Relative Operator Entropy
    Soleimani, S.
    Ghazanfari, A. G.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (07) : 3337 - 3345
12345