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April 1, 2026Fundamental Journal of Mathematics and Applications0 citationsOpen Access

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

CCChristophe Chesneau

Key Points

  • The central aim is to establish a new trigonometric-Hardy-Hilbert integral inequality using a cosine-difference kernel function.
  • Developed a new integral inequality based on a cosine-difference kernel function.
  • Utilized variable changes to support the proof.
  • Exploited a variation of the Hardy-Hilbert integral inequality.
  • A sharp constant factor was identified in the new inequality.
  • Two supplementary integral inequalities were derived, showcasing the main result's usability.

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 Study

Christophe Chesneau (2026) studied this question.

synapsesocial.com/papers/69ccb74216edfba7beb891e8https://doi.org/10.33401/fujma.1850354
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