Reverses of operator Acz\'el inequality
Venus Kaleibary, Shigeru Furuichi
TL;DR
This paper explores inequalities involving operator decreasing functions and means, providing new reverse inequalities related to the operator Aczél inequality and the weighted geometric mean.
Contribution
It introduces novel reverse inequalities for the operator Aczél inequality involving operator decreasing functions and means.
Findings
New inequalities involving operator decreasing functions and means.
Reverses of the operator Aczél inequality established.
Enhanced understanding of inequalities related to the weighted geometric mean.
Abstract
In this paper we present some inequalities involving operator decreasing functions and operator means. These inequalities provide some reverses of operator Acz\'el inequality dealing with the weighted geometric mean.
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