Study of Two Three-parameter Non-homogeneous Variants of the Hilbert Integral Inequality
In this article, we study two new variants of the Hilbert integral inequality which have the features of using non-homogeneous kernels and of being dependent on three parameters. The constants obtained are proved to be optimal. Some examples and related results are discussed, including other variants of the Hilbert integral inequality of potential interest.
Authors
- Christophe Chesneau (ORCID: https://orcid.org/0000-0002-1522-9292)
Institutions
- Université de Caen Normandie (FR)
Publication Details
- Journal
- Lobachevskii Journal of Mathematics
- Published
- 2024-10-01
- DOI
- https://doi.org/10.1134/s1995080224605526
- Citations
- 5
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 4.88