English

An improved discrete Rellich inequality on the half-line

Spectral Theory 2022-06-23 v1 Classical Analysis and ODEs

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.

Keywords

Cite

@article{arxiv.2206.11007,
  title  = {An improved discrete Rellich inequality on the half-line},
  author = {Borbala Gerhat and David Krejcirik and Frantisek Stampach},
  journal= {arXiv preprint arXiv:2206.11007},
  year   = {2022}
}

Comments

19 pages

R2 v1 2026-06-24T11:59:56.779Z