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

Year 2026, Volume: 9 Issue: 1 , 43 - 49 , 30.03.2026

Christophe Chesneau

https://doi.org/10.33401/fujma.1850354

https://izlik.org/JA56CW32LW

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.

Keywords

Hardy-Hilbert-type integral inequality , Trigonometric functions , Sharp constant factor

Ethical Statement

The author declares no conflict of interest.

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