Some Operator Inequalities via Convexity
Hamid Reza Moradi, Shigeru Furuichi, Mohammad Sababheh
TL;DR
This paper uses convexity to derive new inequalities involving matrix means, numerical radius, and Tsallis entropy, enhancing understanding of operator inequalities.
Contribution
It introduces novel and refined inequalities for matrix means, numerical radius, and Tsallis entropy using convexity arguments.
Findings
New inequalities for matrix means and numerical radius
Refined bounds for Tsallis relative operator entropy
Application of convexity to operator inequality analysis
Abstract
In this article, we employ a standard convex argument to obtain new and refined inequalities related to the matrix mean of two accretive matrices, the numerical radius and the Tsallis relative operator entropy.
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