Functional version for Furuta parametric relative operator entropy

被引：0
|
作者：
Mustapha Raïssouli
Shigeru Furuichi
机构：
[1] Taibah University,Department of Mathematics, Science Faculty
[2] Moulay Ismail University,Department of Mathematics, Science Faculty
[3] Nihon University,Department of Information Science, College of Humanities and Sciences
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
Operator inequalities; Functional inequalities; Operator entropies; Convex analysis; 46N10; 46A20; 47A63; 47N10; 39B62; 52A41;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Functional version for the so-called Furuta parametric relative operator entropy is here investigated. Some related functional inequalities are also discussed. The theoretical results obtained by our functional approach immediately imply those of operator versions in a simple, fast, and nice way.
引用
收藏
相关论文
共 50 条
  • [1] Functional version for Furuta parametric relative operator entropy
    Raissouli, Mustapha
    Furuichi, Shigeru
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [2] A RELATIVE ReNYI OPERATOR ENTROPY
    Jeong, Miran
    Kim, Sejong
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (01): : 123 - 132
  • [3] OPERATOR INEQUALITIES ASSOCIATED WITH TSALLIS RELATIVE OPERATOR ENTROPY
    Zou, Limin
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02): : 401 - 406
  • [4] 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
  • [5] Inequalities for relative operator entropy in terms of Tsallis' entropy
    Dragomir, S. S.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (04)
  • [6] Bregman divergence as relative operator entropy
    D. Petz
    Acta Mathematica Hungarica, 2007, 116 : 127 - 131
  • [7] ESTIMATES FOR TSALLIS RELATIVE OPERATOR ENTROPY
    Moradi, Hamid Reza
    Furuichi, Shigeru
    Minculete, Nicusor
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2017, 20 (04): : 1079 - 1088
  • [8] The relative operator entropy and the Karcher mean
    Fujii, Jun Ichi
    Seo, Yuki
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 542 : 4 - 34
  • [9] Malicky-Riecan's entropy as a version of operator entropy
    Frej, B
    FUNDAMENTA MATHEMATICAE, 2006, 189 (02) : 185 - 193
  • [10] Bregman divergence as relative operator entropy
    Petz, D.
    ACTA MATHEMATICA HUNGARICA, 2007, 116 (1-2) : 127 - 131
12345