Matrix Hölder-McCarthy inequality via matrix geometric means

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