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.

19 pages

Cited by in corpus (3)

• One dimensional sharp discrete Hardy-Rellich inequalities
• Improvement of the discrete Hardy inequality
• Hardy inequalities for antisymmetric functions