INEQUALITIES RELATED TO HEINZ AND HERON MEANS

被引：9

作者：

Zou, Limin ^{[1
]}

机构：

[1] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404100, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2013年 / 7卷 / 03期

关键词：

Heinz means; Heron means; Heinz inequality; unitarily invariant norms; UNITARILY-INVARIANT NORMS; MATRICES;

D O I：

10.7153/jmi-07-34

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a matrix inequality related to Heinz and Heron means, and show that it is a refinement of some improved Heinz inequalities for matrices.

引用

页码：389 / 397

页数：9

共 10 条

[1] Interpolating the arithmetic-geometric mean inequality and its operator version [J].

Bhatia, R .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 413 (2-3) :355-363

[2] MORE MATRIX-FORMS OF THE ARITHMETIC-GEOMETRIC MEAN INEQUALITY [J].

BHATIA, R ;

DAVIS, C .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1993, 14 (01) :132-136

[3] Sharp inequalities for some operator means [J].

Drissi, Driss .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2006, 28 (03) :822-828

[4] ON IMPROVED ARITHMETIC-GEOMETRIC MEAN AND HEINZ INEQUALITIES FOR MATRICES [J].

He, Chuanjiang ;

Zou, Limin ;

Qaisar, Shahid .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2012, 6 (03) :453-459

[5] SOME INEQUALITIES FOR UNITARILY INVARIANT NORMS [J].

Hu, Xingkai .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2012, 6 (04) :615-623

[6] On the Convexity of the Heinz Means [J].

Kittaneh, Fuad .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2010, 68 (04) :519-527

[7] Improved Young and Heinz inequalities for matrices [J].

Kittaneh, Fuad ;

Manasrah, Yousef .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 361 (01) :262-269

[8] Some inequalities for unitarily invariant norms of matrices [J].

Wang, Shaoheng ;

Zou, Limin ;

Jiang, Youyi .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,

[9] Inequalities for unitarily invariant norms [J].

Zhan, XZ .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1998, 20 (02) :466-470

[10]

[邹黎敏 Zou Li Min], 2012, [数学学报, Acta Mathematica Sinica], V55, P715

← 1 →