May 19, 2024Open Access

On a weighted Hermite-Hadamard inequality involving convex functional arguments

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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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Räıssouli et al. (Sun,) studied this question.

synapsesocial.com/papers/68e69709b6db64358761d6f3 https://doi.org/https://doi.org/10.48550/arxiv.2405.11702

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