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math.CA2019★ 3 cited
An Improved Discrete -Hardy Inequality
Florian Fischer, Matthias Keller, Felix Pogorzelski
We improve the classical discrete Hardy inequality for for functions on the natural numbers. For integer values of the Hardy weight is an absolutely monotonic…
math.AP2019★ 14 cited
From Hardy to Rellich inequalities on graphs
Matthias Keller, Yehuda Pinchover, Felix Pogorzelski
We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Lapla…