An improved discrete Rellich inequality on the half-line
Abstract Based on a new idea of factorization, we prove an improved discrete Rellich inequality and discuss its optimality. We also give a conjecture on improved higher order discrete Hardy-like inequalities and formulate an open problem for the discrete Rellich inequality on the full space.
Authors
- Borbala Gerhat (ORCID: https://orcid.org/0000-0002-8161-9790)
- David Krejčiřı́k (ORCID: https://orcid.org/0000-0002-2442-1331)
- František Štampach (ORCID: https://orcid.org/0000-0003-3207-6010)
Institutions
- Czech Technical University in Prague (CZ)
Publication Details
- Journal
- Israel Journal of Mathematics
- Published
- 2025-06-29
- DOI
- https://doi.org/10.1007/s11856-025-2790-6
- Citations
- 4
- Primary Topic
- Optimization and Packing Problems
- Type
- article
- Field-Weighted Citation Impact
- 4.97
Funders
- Grantová Agentura České Republiky