Extending the Scope of the Fractional Hardy Integral Inequality

Authors

  • Christophe Chesneau Department of Mathematics, LMNO, University of Caen-Normandie, 14032 Caen, France

DOI:

https://doi.org/10.58715/ncao.2025.4.3

Keywords:

Fractional Hardy integral inequality, Fubini-Tonelli integral theorem, Operators

Abstract

In this article, we establish two theorems that generalize the fractional Hardy integral inequality by incorporating several intermediate functions and parameters. The assumptions made are tractable. Some of them can be related to the notions of sub-additivity and sub-multiplicativity. The proofs are self-contained, without intermediate results, and all details are given. We thus extend the applicability of a classical integral inequality and offer new potential applications in mathematical analysis.

Downloads

Download data is not yet available.

Downloads

Published

2025-05-06

How to Cite

Chesneau, C. (2025). Extending the Scope of the Fractional Hardy Integral Inequality. Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications, 4(1), 31–42. https://doi.org/10.58715/ncao.2025.4.3

Issue

Vol. 4 No. 1 (2025): January - June, 2025

Section

Articles

License

Copyright (c) 2025 Christophe Chesneau

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Open Access Policy

This journal provides immediate open access to its content on the principle that making research freely available to the public.

Publication Charges

There are no charges to submit and publish an article in the Nonlinear Convex Analysis and Optimization (NCAO): An International Journal on Numerical, Computation and Applications. All articles published in our journal are open access and are freely and widely available to all readers via the journal website.