Autor: |
Nakayama, Ryosuke, Seo, Yuki, Tojo, Reo |
Zdroj: |
Advances in Operator Theory; 20240101, Issue: Preprints p1-24, 24p |
Abstrakt: |
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. |
Databáze: |
Supplemental Index |
Externí odkaz: |
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