Multiplicative inequalities for weighted arithmetic and harmonic operator means

被引：0
|
作者：
Dragomir, Sever S. [1 ]
机构：
[1] Victoria Univ, Coll Engn & Sci, Math, Melbourne, Vic, Australia
来源：
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA | 2019年 / 11卷 / 01期
关键词：
Young's inequality; convex functions; arithmetic mean-harmonic mean inequality; operator means; operator inequalities; YOUNG;
D O I：
10.2478/ausm-2019-0005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish some multiplicative inequalities for weighted arithmetic and harmonic operator means under various assumption for the positive invertible operators A, B: Some applications when A, B are bounded above and below by positive constants are given as well.
引用
收藏
页码：54 / 65
页数：12
相关论文
共 50 条
  • [21] The Generalized Inequalities via Means and Positive Linear Mappings
    Nasiri, Leila
    Shams, Mehdi
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2022, 19 (02): : 133 - 148
  • [22] OPERATOR FUNCTIONS AND THE OPERATOR HARMONIC MEAN
    Uchiyama, Mitsuru
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (02) : 797 - 809
  • [23] Maps between positive cones of operator algebras preserving a measure of the difference between arithmetic and geometric means
    Gaal, Marcell
    POSITIVITY, 2019, 23 (02) : 461 - 467
  • [24] OPERATOR MEANS IN JB-ALGEBRAS
    Wang, Shuzhou
    Wang, Zhenhua
    REPORTS ON MATHEMATICAL PHYSICS, 2021, 88 (03) : 383 - 398
  • [25] Maps between positive cones of operator algebras preserving a measure of the difference between arithmetic and geometric means
    Marcell Gaál
    Positivity, 2019, 23 : 461 - 467
  • [26] Operator inequalities and reverse inequalities related to the Kittaneh-Manasrah inequalities
    Wu, J.
    Zhao, J.
    LINEAR & MULTILINEAR ALGEBRA, 2014, 62 (07) : 884 - 894
  • [27] ON OPERATOR BOHR TYPE INEQUALITIES
    Zou, Limin
    He, Chuanjiang
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (03): : 1161 - 1169
  • [28] Separated spectra and operator inequalities
    Sababheh, M.
    Moradi, H. R.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (04): : 982 - 990
  • [29] Submultiplicative functions and operator inequalities
    Koenig, Hermann
    Milman, Vitali
    STUDIA MATHEMATICA, 2014, 223 (03) : 217 - 231
  • [30] SOME GENERALIZATIONS OF OPERATOR INEQUALITIES
    Fu, Xiaohui
    Journal of Mathematical Inequalities, 2015, 9 (01): : 101 - 105
12345