A new variant of weighted Hermite-Hadamard inequalities and applications

Fuente: arXiv
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Main Authors: Raissouli, Mustapha, Tarik, Lahcen, Chergui, Mohamed
Format: Preprint
Published: 2024
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author Raissouli, Mustapha
Tarik, Lahcen
Chergui, Mohamed
author_facet Raissouli, Mustapha
Tarik, Lahcen
Chergui, Mohamed
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_11701
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A new variant of weighted Hermite-Hadamard inequalities and applications
Raissouli, Mustapha
Tarik, Lahcen
Chergui, Mohamed
Functional Analysis
Operator Algebras
47A63, 47A60, 47A64
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.
title A new variant of weighted Hermite-Hadamard inequalities and applications
topic Functional Analysis
Operator Algebras
47A63, 47A60, 47A64
url https://arxiv.org/abs/2405.11701