On New General Beesack-Opial-type Integral Inequalities

This article presents new Beesack-Opial-type integral inequalities incorporating three functions. The upper bounds are defined using some derivatives and primitives of these functions. Detailed proofs are provided. These are accompanied by illustrative examples, including applications involving the Laplace transform.

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Publication Details

Journal
Earthline Journal of Mathematical Sciences
Published
2025-09-22
DOI
https://doi.org/10.34198/ejms.15625.10711082
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
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article

On New General Beesack-Opial-type Integral Inequalities

Christophe Chesneau
Earthline Journal of Mathematical Sciences
Mathematical Inequalities and Applications
article

On New General Beesack-Opial-type Integral Inequalities

Christophe Chesneau
article en

Abstract

This article presents new Beesack-Opial-type integral inequalities incorporating three functions. The upper bounds are defined using some derivatives and primitives of these functions. Detailed proofs are provided. These are accompanied by illustrative examples, including applications involving the Laplace transform.

Earthline Journal of Mathematical Sciences
Université de Caen Normandie (FR)
Openalex Percentile: Top 63%
Mathematical Inequalities and Applications
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On New General Beesack-Opial-type Integral Inequalities — Christophe Chesneau · Earthline Journal of Mathematical Sciences (2025) | TGRS Research Map | TGRS