Study of some new integral inequalities involving four adaptable functions

Chesneau, Christophe

doi:10.2478/awutm-2025-0002

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Study of some new integral inequalities involving four adaptable functions

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 61 (2025): Issue 1 (January 2025)

By: Christophe Chesneau

Open Access

|Mar 2025

Abstract

In this article, we establish new and flexible integral inequalities that have the property of involving four adaptable functions. Some of them generalize existing results in the literature. They can also be reformulated in the context of probability theory. Several special examples are discussed in detail. Additional integral inequalities based on the notion of convexity are also proposed.

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DOI: https://doi.org/10.2478/awutm-2025-0002 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 14 - 30

Submitted on: Nov 21, 2024

Accepted on: Mar 10, 2025

Published on: Mar 15, 2025

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

integral inequalities,

expectation inequalities,

convexity

Related subjects:

Mathematics,

General mathematics

© 2025 Christophe Chesneau, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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