Some Bounds for the Generalized Tsallis Relative Operator Entropy

被引：1
|
作者：
Nikoufar, Ismail [1 ]
Fazlolahi, Maryam [1 ]
机构：
[1] Payame Noor Univ, Dept Math, Tehran, Iran
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 03期
关键词：
Operator inequality; relative operator entropy; generalized Tsallis relative operator entropy; power mean; information monotonicity; INEQUALITIES;
D O I：
10.1007/s00009-023-02312-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain the lower and upper bounds for the generalized Tsallis relative operator entropy which will recover some known results. Moreover, we verify the information monotonicity for the generalized Tsallis relative operator entropy and its complementary. In particular, this gives the information monotonicity for the Tsallis relative operator entropy and relative operator entropy.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Some Bounds for the Generalized Tsallis Relative Operator Entropy
    Ismail Nikoufar
    Maryam Fazlolahi
    [J]. Mediterranean Journal of Mathematics, 2023, 20
  • [2] SHARP BOUNDS FOR THE TSALLIS RELATIVE OPERATOR ENTROPY
    Nikoufar, Ismail
    Arpatapeh, Mehdi Kanani
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (04) : 1461 - 1471
  • [3] ON A NEW GENERALIZED TSALLIS RELATIVE OPERATOR ENTROPY
    Tarik, Lahcen
    Chergui, Mohamed
    El Wahbi, Bouazza
    [J]. MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING, 2023, 4 (01): : 1 - 11
  • [4] Inequalities for the Generalized Tsallis Relative Operator Entropy
    Nikoufar, Ismail
    Yousefzadeh, Zahra
    [J]. FILOMAT, 2020, 34 (08) : 2713 - 2721
  • [5] Some remarks on Tsallis relative operator entropy
    Shigeru Furuichi
    Hamid Reza Moradi
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
  • [6] Some Properties of the Tsallis Relative Operator φ-Entropy
    Nikoufar, Ismail
    [J]. JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2021, 17 (02) : 216 - 232
  • [7] Some remarks on Tsallis relative operator entropy
    Furuichi, Shigeru
    Moradi, Hamid Reza
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (02)
  • [8] THE GENERALIZED TSALLIS RELATIVE OPERATOR ENTROPY VIA SOLIDARITY
    Mikic, Rozarija
    Pecaric, Josip
    Peric, Ivan
    Seo, Yuki
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (01): : 269 - 283
  • [9] Some closer estimations for Tsallis relative operator entropy
    Nikoufar, Ismail
    Arpatapeh, Mehdi Kanani
    [J]. REVIEWS IN MATHEMATICAL PHYSICS, 2024,
  • [10] Generalized Shannon inequalities based on Tsallis relative operator entropy
    Yanagi, K
    Kuriyama, K
    Furuichi, S
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 394 : 109 - 118
12345