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Polynesian Journal of Mathematics

Volume 2, Issue 5

On a minimum fractional Hardy--Hilbert-type integral inequality

Christophe Chesneau

Abstract:

This article is devoted to the study of a new minimum fractional Hardy–Hilbert integral inequality. A comprehensive theoretical framework is developed, accompanied by a detailed proof. In addition, two auxiliary results are presented to illustrate the applicability and relevance of the main theorem.

Keywords: Integral inequalities, Hardy–Hilbert-type integral inequalities.

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Citation:

Christophe Chesneau. On a minimum fractional Hardy--Hilbert-type integral inequality. Polynesian Journal of Mathematics, Volume 2, Issue 5, Pages 1–10. (Sep 2025) DOI: 10.69763/polyjmath.2.5

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Milestones:

Received 29 Jul 2025
Revised 3 Sep 2025
Accepted 5 Sep 2025
Published 17 Sep 2025
Communicated by Gaetan Bisson

The above content is published under the terms of the Creative Commons Attribution 4.0 International license.