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Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 9 Issue: 1

On a Trigonometric-Hardy-Hilbert Integral Inequality Based on a Cosine-Difference Kernel Function

Christophe Chesneau(Université de Caen-Normandie)0000-0002-1522-9292
Pages
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Publication Date
2026-03-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Two additional integral inequalities are presented to demonstrate the applicability of the main result.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This article establishes a new trigonometric-Hardy-Hilbert-type integral inequality involving a cosine-difference kernel function.
📊
Key Findings & Data:The proof relies on several changes of variables and a well-known variation of the Hardy-Hilbert integral inequality.
💡
Conclusion & Impact:Two additional integral inequalities are presented to demonstrate the applicability of the main result.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hardy-Hilbert-type integral inequality · Trigonometric functions · Sharp constant factor

Abstract

This article establishes a new trigonometric-Hardy-Hilbert-type integral inequality involving a cosine-difference kernel function. The proof relies on several changes of variables and a well-known variation of the Hardy-Hilbert integral inequality. A sharp constant factor is obtained. Two additional integral inequalities are presented to demonstrate the applicability of the main result.

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Cite This Article

Chesneau, C. (2026). On a Trigonometric-Hardy-Hilbert Integral Inequality Based on a Cosine-Difference Kernel Function. Fundamental Journal of Mathematics and Applications, Volume: 9 Issue: 1. https://doi.org/10.33401/fujma.1850354

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