A note on Kantorovich and Ando inequalities

被引:1
|
作者
Sababheh, Mohammad [1 ]
Moradi, Hamid Reza [2 ]
Gumus, Ibrahim Halil [3 ]
Furuichi, Shigeru [4 ]
机构
[1] Princess Sumaya Univ Technol, Dept Basic Sci, Amman 11941, Jordan
[2] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Iran
[3] Adiaman Univ, Fac Arts & Sci, Dept Math, Adiyaman, Turkiye
[4] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, 3-25-40 Sakurajyousui,Setagaya Ku, Tokyo 1568550, Japan
关键词
Kantorovich inequality; Ando?s inequality; operator Minkowski inequality;
D O I
10.2298/FIL2313171S
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The main goal of this exposition is to present further analysis of the Kantorovich and Ando operator inequalities. In particular, a new proof of Ando's inequality is given, a new non-trivial refinement of Kantorovich inequality is shown, and some equivalent forms of the Kantorovich inequality are presented with a Minkowski-type application.
引用
收藏
页码:4171 / 4183
页数:13
相关论文
共 50 条
  • [41] ON ANDO-HIAI TYPE INEQUALITIES FOR SECTORIAL MATRICES
    Mao, Yanling
    Ji, Guoxing
    OPERATORS AND MATRICES, 2024, 18 (02): : 335 - 342
  • [42] Some Matrix Norm Kantorovich Inequalities and Their Applications
    Yang, Hu
    Wu, Jibo
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2011, 40 (22) : 4078 - 4085
  • [43] On Several Matrix Kantorovich-Type Inequalities
    Liu, Zhibing
    Lu, Linzhang
    Wang, Kanmin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [44] KANTOROVICH TYPE INEQUALITIES FOR ORDERED LINEAR SPACES
    Niezgoda, Marek
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2010, 20 : 103 - 114
  • [45] A Note on Kantorovich Inequality for Hermite Matrices
    Liu, Zhibing
    Wang, Kanmin
    Xu, Chengfeng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [46] A Note on the Differentiability of the Hellinger–Kantorovich Distances
    Florentine Catharina Fleißner
    Applied Mathematics & Optimization, 2023, 87
  • [47] A note on Monge-Kantorovich problem
    Feng, Pengbin
    Peng, Xuhui
    STATISTICS & PROBABILITY LETTERS, 2014, 84 : 204 - 211
  • [48] Reverses of Ando's and Holder-McCarty's inequalities
    Hajmohamadi, Monire
    Lashkaripour, Rahmatollah
    Bakherad, Mojtaba
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [49] Operator inequalities associated with the Kantorovich type inequalities for s-convex functions
    Ismail Nikoufar
    Davuod Saeedi
    Indian Journal of Pure and Applied Mathematics, 2023, 54 : 1268 - 1277
  • [50] Reverses of Ando’s and Hölder–McCarty’s inequalities
    Monire Hajmohamadi
    Rahmatollah Lashkaripour
    Mojtaba Bakherad
    Journal of Inequalities and Applications, 2018