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arXiv · 2405.11702

On a weighted Hermite-Hadamard inequality involving convex functional arguments

Mustapha Raissouli·Mohamed Chergui·Lahcen Tarik
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Abstract

In this paper, we are interested in investigating a weighted variant of Hermite-Hadamard type inequalities involving convex functionals. The approach undertaken makes it possible to refine and reverse certain inequalities already known in the literature. It also allows us to provide new weighted convex functional means and establish some related properties with respect to some standard means.

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Mustapha Raissouli, Mohamed Chergui, Lahcen Tarik. 2024-05-19. On a weighted Hermite-Hadamard inequality involving convex functional arguments. https://arxiv.org/abs/2405.11702

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