An Improved Discrete $p$-Hardy Inequality

Abstract

We improve the classical discrete Hardy inequality for $1<p<\infty$ for functions on the natural numbers. For integer values of $p$ the Hardy weight is an absolutely monotonic function.

arXiv comment12 pages

Cited by in corpus (1)

• A sharp form of the discrete Hardy inequality and the Keller-Pinchover-Pogorzelski inequality