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Study of a multi-parameter three-dimensional Hardy-Hilbert type integral inequality Cover

Study of a multi-parameter three-dimensional Hardy-Hilbert type integral inequality

Open Access
|Jan 2026

Abstract

This article is devoted to the study of a new three-dimensional Hardy-Hilbert integral inequality. It is innovative mainly for its generality, characterized by the presence of many adjustable parameters and complex power-sum interactions of the variables. Several new three-dimensional integral inequalities are derived from the main result, showing how it can be applied in di erent analytical frameworks. The proofs are presented in detail, ensuring a rigorous theoretical foundation.

DOI: https://doi.org/10.2478/awutm-2026-0003 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 30 - 44
Submitted on: Sep 22, 2025
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Accepted on: Jan 14, 2026
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Published on: Jan 22, 2026
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2026 Christophe Chesneau, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.