Matrix Holder-McCarthy inequality via matrix geometric means
Matrix Holder-McCarthy inequality via matrix geometric means
复制标题
通过矩阵几何平均值的矩阵 Holder-McCarthy 不等式
DOI：
10.1007/s43036-020-00044-y
复制
发表时间：
2020
影响因子：
0.8
通讯作者：
Yuki Seo and Reo Tojo
中科院分区：
文献类型：
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作者：
Ryosuke Nakayama;Yuki Seo and Reo Tojo
本文借助于半正定矩阵的Moore-Penrose逆的矩阵几何平均的表达式，给出了Hölder-McCarthy不等式、Hölder不等式和拟算术幂平均的矩阵形式，以及它们通过广义Kantorovich常数对正定矩阵的逆.
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.