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

Christophe Chesneau

doi:10.33401/fujma.1850354

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

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

Ethical Statement

The author declares no conflict of interest.

References

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Details

Primary Language

English

Subjects

Mathematical Methods and Special Functions

Journal Section

Research Article

Authors

Christophe Chesneau ^*
0000-0002-1522-9292
France

Publication Date

March 30, 2026

Submission Date

December 27, 2025

Acceptance Date

March 29, 2026

Published in Issue

Year 2026 Volume: 9 Number: 1

DOI

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

IZ

https://izlik.org/JA56CW32LW

Cite

RIS / Bibtex

APA

Chesneau, C. (2026). On a Trigonometric-Hardy-Hilbert Integral Inequality Based on a Cosine-Difference Kernel Function. Fundamental Journal of Mathematics and Applications, 9(1), 43-49. https://doi.org/10.33401/fujma.1850354

AMA

1.Chesneau C. On a Trigonometric-Hardy-Hilbert Integral Inequality Based on a Cosine-Difference Kernel Function. Fundam. J. Math. Appl. 2026;9(1):43-49. doi:10.33401/fujma.1850354

Chicago

Chesneau, Christophe. 2026. “On a Trigonometric-Hardy-Hilbert Integral Inequality Based on a Cosine-Difference Kernel Function”. Fundamental Journal of Mathematics and Applications 9 (1): 43-49. https://doi.org/10.33401/fujma.1850354.

EndNote

Chesneau C (March 1, 2026) On a Trigonometric-Hardy-Hilbert Integral Inequality Based on a Cosine-Difference Kernel Function. Fundamental Journal of Mathematics and Applications 9 1 43–49.

IEEE

[1]C. Chesneau, “On a Trigonometric-Hardy-Hilbert Integral Inequality Based on a Cosine-Difference Kernel Function”, Fundam. J. Math. Appl., vol. 9, no. 1, pp. 43–49, Mar. 2026, doi: 10.33401/fujma.1850354.

ISNAD

Chesneau, Christophe. “On a Trigonometric-Hardy-Hilbert Integral Inequality Based on a Cosine-Difference Kernel Function”. Fundamental Journal of Mathematics and Applications 9/1 (March 1, 2026): 43-49. https://doi.org/10.33401/fujma.1850354.

JAMA

1.Chesneau C. On a Trigonometric-Hardy-Hilbert Integral Inequality Based on a Cosine-Difference Kernel Function. Fundam. J. Math. Appl. 2026;9:43–49.

MLA

Chesneau, Christophe. “On a Trigonometric-Hardy-Hilbert Integral Inequality Based on a Cosine-Difference Kernel Function”. Fundamental Journal of Mathematics and Applications, vol. 9, no. 1, Mar. 2026, pp. 43-49, doi:10.33401/fujma.1850354.

Vancouver

1.Christophe Chesneau. On a Trigonometric-Hardy-Hilbert Integral Inequality Based on a Cosine-Difference Kernel Function. Fundam. J. Math. Appl. 2026 Mar. 1;9(1):43-9. doi:10.33401/fujma.1850354