STUDY OF A VARIANT OF THE HARDY INTEGRAL INEQUALITY
This paper investigates a new variant of the Hardy integral inequality, which is formulated using an integral that quantifies the dispersion of a function around its mean. Explicit upper bounds are derived for a variety of configurations. The main inequality is then extended to include pairs of functions. Detailed proofs accompany all results.
Authors
- Christophe Chesneau (ORCID: https://orcid.org/0000-0002-1522-9292)
Publication Details
- Journal
- Advances in Mathematics Scientific Journal
- Published
- 2025-06-17
- DOI
- https://doi.org/10.37418/amsj.14.2.7
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00