COMPLETE INTERPOLATION OF MATRIX VERSIONS OF HERON AND HEINZ MEANS

被引：12

作者：

Kaur, Rupinderjit ^{[1
]}

Singh, Mandeep ^{[1
]}

机构：

[1] St Longowal Inst Engn & Technol, Dept Math, Longowal 148106, Punjab, India

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2013年 / 16卷 / 01期

关键词：

Positive definite matrices; matrix means; norm inequalities;

D O I：

10.7153/mia-16-06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The interpolation and comparison of a matrix version of Heron mean, F-alpha(a,b) = (1 - alpha)root ab+alpha a+b/2, 0 <= alpha <= 1, a,b is an element of R+ is considered by R. Bhatia in [1]. We shall discuss the complete interpolation and comparison of matrix version of such means by extending the range of alpha from [0,1] to R+. We shall also discuss some more results involving Heinz means.

引用

页码：93 / 99

页数：7

共 8 条

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