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arXiv · 2204.07622

Operator inequalities via the triangle inequality

Shigeru Furuichi·Mohammad Sababheh·Hamid Reza Moradi
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Abstract

This article improves the triangle inequality for complex numbers, using the Hermite-Hadamard inequality for convex functions. Then, applications of the obtained refinement are presented to include some operator inequalities. The operator applications include numerical radius inequalities and operator mean inequalities.

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Shigeru Furuichi, Mohammad Sababheh, Hamid Reza Moradi. 2022-04-15. Operator inequalities via the triangle inequality. https://arxiv.org/abs/2204.07622

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