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.

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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