A mixed arithmetic-mean-harmonic-mean matrix inequality

被引:15
|
作者
Mond, B [1 ]
Pecaric, JE [1 ]
机构
[1] UNIV ZAGREB,FAC TEXT TECHNOL,ZAGREB 41000,CROATIA
关键词
D O I
10.1016/0024-3795(95)00269-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A conjecture involving a mixed arithmetic-mean-geometric-mean inequality was recently proved. We give an analogous mixed arithmetic-mean-harmonic-mean inequality for Hermitian matrices. Mixed arithmetic-geometric- and harmonic-geometric-mean inequalities for two matrices are also given.
引用
收藏
页码:449 / 454
页数:6
相关论文
共 50 条
  • [32] A new refinement of the arithmetic mean-geometric mean inequality
    Alzer, H
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1997, 27 (03) : 663 - 667
  • [33] An Entropy Proof of the Arithmetic Mean-Geometric Mean Inequality
    Graham, Cole
    Tokieda, Tadashi
    AMERICAN MATHEMATICAL MONTHLY, 2020, 127 (06): : 545 - 546
  • [34] MORE MATRIX-FORMS OF THE ARITHMETIC-GEOMETRIC MEAN INEQUALITY
    BHATIA, R
    DAVIS, C
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1993, 14 (01) : 132 - 136
  • [35] 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
  • [36] ON THE ARITHMETIC-GEOMETRIC MEAN INEQUALITY
    Hassani, Mehdi
    TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (04): : 453 - 456
  • [37] GENERALIZATION OF INEQUALITY OF ARITHMETIC AND GEOMETRIC MEAN
    HERING, F
    MONATSHEFTE FUR MATHEMATIK, 1973, 77 (01): : 31 - 42
  • [38] ON THE MATRIX HARMONIC MEAN
    Sababheh, Mohammad
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (04): : 901 - 920
  • [39] ON THE ARITHMETIC-GEOMETRIC MEAN INEQUALITY
    LUCHT, LG
    AMERICAN MATHEMATICAL MONTHLY, 1995, 102 (08): : 739 - 740
  • [40] On the arithmetic-geometric mean inequality
    Kwon, EG
    Shon, KH
    FINITE OR INFINITE DIMENSIONAL COMPLEX ANALYSIS, 2000, 214 : 233 - 235