On a weighted Hermite-Hadamard inequality involving convex functional arguments

Fuente: arXiv
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Main Authors: Raissouli, Mustapha, Chergui, Mohamed, Tarik, Lahcen
Format: Preprint
Published: 2024
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author Raissouli, Mustapha
Chergui, Mohamed
Tarik, Lahcen
author_facet Raissouli, Mustapha
Chergui, Mohamed
Tarik, Lahcen
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_11702
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On a weighted Hermite-Hadamard inequality involving convex functional arguments
Raissouli, Mustapha
Chergui, Mohamed
Tarik, Lahcen
Functional Analysis
26D10, 26D15, 47A63, 47A64, 46S20
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.
title On a weighted Hermite-Hadamard inequality involving convex functional arguments
topic Functional Analysis
26D10, 26D15, 47A63, 47A64, 46S20
url https://arxiv.org/abs/2405.11702