September 23, 2025Open Access

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

CCChristophe ChesneauMarathwada Agricultural University

Key Points

A new integral inequality is derived using the classical Hardy-Hilbert integral inequality, showcasing its elegance.
The proof leverages established principles, making it both concise and informative.
Applications to the gamma function illustrate the practical use of this new integral inequality.
The findings contribute to the broader understanding of integral inequalities and their implications.

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.

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Cite This Study

Christophe Chesneau (Mon,) studied this question.

synapsesocial.com/papers/68d473a631b076d99fa6c154 https://doi.org/https://doi.org/10.34198/ejms.15625.10831089

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