Revision and Contribution to Refined Integral Inequalities of the Hilbert Type

  • Christophe Chesneau Department of Mathematics, LMNO, University of Caen-Normandie, 14032 Caen, France
Keywords: double integral inequalities, Hilbert integral inequality, Hölder integral inequality

Abstract

The Hilbert integral inequality is a well-known result that forms the basis of analysis. In this article, we critically discuss two existing theorems relating to refinements of this inequality. Subsequently, we present a new result of the same kind. We provide a detailed proof and demonstrate the applicability of the proposed theorem through three illustrative applications.

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References

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Published
2026-06-15
How to Cite
Chesneau, C. (2026). Revision and Contribution to Refined Integral Inequalities of the Hilbert Type. Earthline Journal of Mathematical Sciences, 16(4), 729-738. https://doi.org/10.34198/ejms.16426.44.729738