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
  • [1] A note on operator inequalities of Tsallis relative operator entropy
    Furuichi, S
    Yanagi, K
    Kuriyama, K
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 407 : 19 - 31
  • [2] OPERATOR INEQUALITIES ASSOCIATED WITH TSALLIS RELATIVE OPERATOR ENTROPY
    Zou, Limin
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02): : 401 - 406
  • [3] Inequalities for relative operator entropy in terms of Tsallis' entropy
    Dragomir, S. S.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (04)
  • [4] Inequalities for the Generalized Tsallis Relative Operator Entropy
    Nikoufar, Ismail
    Yousefzadeh, Zahra
    FILOMAT, 2020, 34 (08) : 2713 - 2721
  • [5] Generalized Shannon inequalities based on Tsallis relative operator entropy
    Yanagi, K
    Kuriyama, K
    Furuichi, S
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 394 : 109 - 118
  • [6] ESTIMATES FOR TSALLIS RELATIVE OPERATOR ENTROPY
    Moradi, Hamid Reza
    Furuichi, Shigeru
    Minculete, Nicusor
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2017, 20 (04): : 1079 - 1088
  • [7] SHANNON TYPE INEQUALITIES OF A RELATIVE OPERATOR ENTROPY INCLUDING TSALLIS AND RENYI ONES
    Isa, Hiroshi
    Ito, Masatoshi
    Kamei, Eizaburo
    Tohyama, Hiroaki
    Watanabe, Masayuki
    ANNALS OF FUNCTIONAL ANALYSIS, 2015, 6 (04): : 289 - 300
  • [8] SHARP BOUNDS FOR THE TSALLIS RELATIVE OPERATOR ENTROPY
    Nikoufar, Ismail
    Arpatapeh, Mehdi Kanani
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (04) : 1461 - 1471
  • [9] ON A NEW GENERALIZED TSALLIS RELATIVE OPERATOR ENTROPY
    Tarik, Lahcen
    Chergui, Mohamed
    El Wahbi, Bouazza
    MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING, 2023, 4 (01): : 1 - 11
  • [10] On Estimates for Fractional Tsallis Relative Operator Entropy
    Hosseini, Behare
    Babakhani, Azizollah
    Nikoufar, Ismail
    KYUNGPOOK MATHEMATICAL JOURNAL, 2024, 64 (04): : 531 - 547
12345