Matrix Hölder-McCarthy inequality via matrix geometric means

被引：0
|
作者：
Ryosuke Nakayama
Yuki Seo
Reo Tojo
机构：
[1] Osaka Kyoiku University,Department of Mathematics Education
来源：
Advances in Operator Theory | 2020年 / 5卷
关键词：
Matrix inequalities; Hölder-McCarthy inequality; Quasi-arithmetic power mean; Positive definite matrix; 15A45; 47A63; 47A64;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, by virtue of an expression of matrix geometric means for positive semidefinite matrices via the Moore-Penrose inverse, we show matrix versions of the Hölder-McCarthy inequality, the Hölder inequality and quasi-arithmetic power means via matrix geometric means, and their reverses for positive definite matrices via the generalized Kantorovich constant.
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页码：744 / 767
页数：23
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