An improved discrete Hardy inequality

Autoren: Matthias Keller, Yehuda Pinchover, Felix Pogorzelski (2018)

We improve the classical discrete Hardy inequality

<nobr>∑n=1∞a2n≥(12)2∑n=1∞(a1+a2+⋯+ann)2,</nobr>

where <nobr>{an}∞n=1</nobr> is any sequence of non-negative real numbers.

Zeitschrift:
American Mathematics Monthly
Seiten:
347–350
Band:
125

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