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
  • [31] CHARACTERIZATION OF OPERATOR CONVEX FUNCTIONS BY CERTAIN OPERATOR INEQUALITIES
    Osaka, Hiroyuki
    Tsurumi, Yukihiro
    Wada, Shuhei
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (02): : 565 - 575
  • [32] Some New Integral Inequalities Involving Fractional Operator with Applications to Probability Density Functions and Special Means
    Kodamasingh, Bibhakar
    Sahoo, Soubhagya Kumar
    Shaikh, Wajid Ali
    Nonlaopon, Kamsing
    Ntouyas, Sotiris K.
    Tariq, Muhammad
    AXIOMS, 2022, 11 (11)
  • [33] New Refinements of Some Inequalities Involving Relative Operator Entropy
    Soleimani, S.
    Ghazanfari, A. G.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (07) : 3337 - 3345
  • [34] New Refinements of Some Inequalities Involving Relative Operator Entropy
    S. Soleimani
    A. G. Ghazanfari
    Complex Analysis and Operator Theory, 2019, 13 : 3337 - 3345
  • [35] SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES
    Moazzen, Alireza
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2018, 25 (01): : 39 - 48
  • [36] QUASI-ARITHMETIC MEANS AND SUBQUADRACITY
    Abramovich, Shoshana
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (04): : 1157 - 1168
  • [37] New inequalities for operator monotone functions
    Dragomir, Silvestru Sever
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2021, 48 (01): : 137 - 145
  • [38] On some inequalities with matrix means
    Fu, Xiaohui
    Dinh Trung Hoa
    LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (12) : 2373 - 2378
  • [39] Reverses of Operator Fejer's Inequalities
    Dragomir, Silvestru Sever
    TOKYO JOURNAL OF MATHEMATICS, 2021, 44 (02) : 351 - 366
  • [40] Functions preserving operator means
    Trung Hoa Dinh
    Osaka, Hiroyuki
    Wada, Shuhei
    ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (04) : 1203 - 1219
12345