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arXiv · 2405.11701

A new variant of weighted Hermite-Hadamard inequalities and applications

Mustapha Raissouli·Lahcen Tarik·Mohamed Chergui
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Abstract

In this article, we focus on establishing a new variant of Hermite-Hadamard type inequalities for operator convex maps using an appropriate probability measure. To underline the usefulness of these inequalities, we investigate some refinements of some well-known operator inequalities, as well as the definition of new weighted operator means.

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Mustapha Raissouli, Lahcen Tarik, Mohamed Chergui. 2024-05-19. A new variant of weighted Hermite-Hadamard inequalities and applications. https://arxiv.org/abs/2405.11701

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