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

Christophe Chesneau

doi:10.2478/awutm-2026-0003

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

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 62 (2026): Issue 1 (January 2026)

By: Christophe Chesneau

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.

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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2026-0003 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 30 - 44

Submitted on: Sep 22, 2025

Accepted on: Jan 14, 2026

Published on: Jan 22, 2026

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

integral inequalities,

three-dimensional integrals,

Hardy-Hilbert type integral inequalities,

Hardy integral inequality,

operator theory

Related subjects:

Mathematics,

General mathematics

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

Volume 62 (2026): Issue 1 (January 2026)