IMPROVED ARITHMETIC-GEOMETRIC MEAN INEQUALITY AND ITS APPLICATION

被引:20
|
作者
Zou, Limin [1 ]
Jiang, Youyi [1 ]
机构
[1] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404100, Peoples R China
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2015年 / 9卷 / 01期
关键词
Arithmetic-geometric mean inequality; Taylor's theorem; Heinz means; operator inequality;
D O I
10.7153/jmi-09-10
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this short note, we present a refinement of the well-known arithmetic-geometric mean inequality. As application of our result, we obtain an operator inequality.
引用
收藏
页码:107 / 111
页数:5
相关论文
共 50 条
  • [41] Extensions of interpolation between the arithmetic-geometric mean inequality for matrices
    Mojtaba Bakherad
    Rahmatollah Lashkaripour
    Monire Hajmohamadi
    Journal of Inequalities and Applications, 2017
  • [42] RECENT DEVELOPMENTS OF MATRIX VERSIONS OF THE ARITHMETIC-GEOMETRIC MEAN INEQUALITY
    Fujii, Jun Ichi
    Fujii, Masatoshi
    Seo, Yuki
    Zuo, Hongliang
    ANNALS OF FUNCTIONAL ANALYSIS, 2016, 7 (01): : 102 - 117
  • [43] An approximation to the arithmetic-geometric mean
    Jameson, G. J. O.
    MATHEMATICAL GAZETTE, 2014, 98 (541): : 85 - 95
  • [44] A GENERALIZATION OF THE ARITHMETIC-GEOMETRIC MEAN
    HEINRICH, H
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1981, 61 (06): : 265 - 267
  • [45] A GENERALIZED ARITHMETIC-GEOMETRIC MEAN
    BORWEIN, D
    BORWEIN, PB
    SIAM REVIEW, 1984, 26 (03) : 433 - 433
  • [46] REFINED ARITHMETIC-GEOMETRIC MEAN INEQUALITY AND NEW ENTROPY UPPER BOUND
    Adiyasuren, Vandanjav
    Batbold, Tserendorj
    Khan, Muhammad Adil
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 31 (01): : 95 - 100
  • [47] Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities
    Xue, Jianming
    Hu, Xingkai
    MATHEMATICS, 2019, 7 (09)
  • [48] Singular values of convex functions of operators and the arithmetic-geometric mean inequality
    Hirzallah, Omar
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 433 (02) : 935 - 947
  • [49] A generalized arithmetic-geometric mean-type inequality of measurable operator
    Sun, Shuoxi
    Yan, Cheng
    LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (01): : 120 - 132
  • [50] Generalizations of the unitarily invariant norm version of the arithmetic-geometric mean inequality
    Al-khlyleh, Mohammad
    Alrimawi, Fadi
    ADVANCES IN OPERATOR THEORY, 2021, 6 (01)