A collection of inequalities based on the Carleman integral inequality

Christophe Chesneau

A collection of inequalities based on the Carleman integral inequality

Abstract

This article presents a collection of new inequalities derived from the Carleman integral inequality. Several of these results incorporate auxiliary elements, such as secondary, reciprocal and primitive functions, as well as Laplace transforms. Complete proofs are provided, making use of a variety of well-established inequalities and analytical techniques. Many of these methods are broadly applicable and can be adapted to other contexts involving integral inequalities.

Keywords

References

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

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

Publication Date

November 28, 2025

Submission Date

May 15, 2025

Acceptance Date

August 6, 2025

Published in Issue

Year 2025 Volume: 1 Number: 1

IZ

https://izlik.org/JA84UT54UF

Cite

RIS / Bibtex

APA

Chesneau, C. (2025). A collection of inequalities based on the Carleman integral inequality. Düzce Mathematical Research, 1(1), 1-10. https://izlik.org/JA84UT54UF

AMA

1.Chesneau C. A collection of inequalities based on the Carleman integral inequality. Düzce Mathematical Research. 2025;1(1):1-10. https://izlik.org/JA84UT54UF

Chicago

Chesneau, Christophe. 2025. “A Collection of Inequalities Based on the Carleman Integral Inequality”. Düzce Mathematical Research 1 (1): 1-10. https://izlik.org/JA84UT54UF.

EndNote

Chesneau C (November 1, 2025) A collection of inequalities based on the Carleman integral inequality. Düzce Mathematical Research 1 1 1–10.

IEEE

[1]C. Chesneau, “A collection of inequalities based on the Carleman integral inequality”, Düzce Mathematical Research, vol. 1, no. 1, pp. 1–10, Nov. 2025, [Online]. Available: https://izlik.org/JA84UT54UF

ISNAD

Chesneau, Christophe. “A Collection of Inequalities Based on the Carleman Integral Inequality”. Düzce Mathematical Research 1/1 (November 1, 2025): 1-10. https://izlik.org/JA84UT54UF.

JAMA

1.Chesneau C. A collection of inequalities based on the Carleman integral inequality. Düzce Mathematical Research. 2025;1:1–10.

MLA

Chesneau, Christophe. “A Collection of Inequalities Based on the Carleman Integral Inequality”. Düzce Mathematical Research, vol. 1, no. 1, Nov. 2025, pp. 1-10, https://izlik.org/JA84UT54UF.

Vancouver

1.Christophe Chesneau. A collection of inequalities based on the Carleman integral inequality. Düzce Mathematical Research [Internet]. 2025 Nov. 1;1(1):1-10. Available from: https://izlik.org/JA84UT54UF