On a New Integral Inequality Derived from the Hardy-Hilbert Integral Inequality

This article is devoted to a new integral inequality expressed in terms of elementary integrals. The proof is notable for its use of the classical Hardy-Hilbert integral inequality, which provides an elegant and concise argument. As an illustration of its utility, we also present an application to the gamma function.

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Publication Details

Journal
Earthline Journal of Mathematical Sciences
Published
2025-09-22
DOI
https://doi.org/10.34198/ejms.15625.10831089
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
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article

On a New Integral Inequality Derived from the Hardy-Hilbert Integral Inequality

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

On a New Integral Inequality Derived from the Hardy-Hilbert Integral Inequality

Christophe Chesneau
article en

Abstract

This article is devoted to a new integral inequality expressed in terms of elementary integrals. The proof is notable for its use of the classical Hardy-Hilbert integral inequality, which provides an elegant and concise argument. As an illustration of its utility, we also present an application to the gamma function.

Earthline Journal of Mathematical Sciences
Université de Caen Normandie (FR)
Openalex Percentile: Top 63%
Mathematical Inequalities and Applications
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On a New Integral Inequality Derived from the Hardy-Hilbert Integral Inequality — Christophe Chesneau · Earthline Journal of Mathematical Sciences (2025) | TGRS Research Map | TGRS