A Sharp Form of the Discrete Hardy Inequality and the Keller-Pinchover-Pogorzelski Inequality

A Sharp Form of the Discrete Hardy Inequality and the Keller-Pinchover-Pogorzelski Inequality

We give a short proof of a recently established Hardy-type inequality due to Keller, Pinchover, and Pogorzelski together with its optimality. Moreover, we identify the remainder term which makes it into an identity.

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Veröffentlicht in:The American mathematical monthly 2022-03, Vol.129 (3), p.281-283
Hauptverfasser: Krejčiřík, David, Štampach, František
Format: Artikel
Sprache:eng
Schlagworte:
Discrete element method
Income inequality
Inequality
Primary 26D15
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Beschreibung
Zusammenfassung:We give a short proof of a recently established Hardy-type inequality due to Keller, Pinchover, and Pogorzelski together with its optimality. Moreover, we identify the remainder term which makes it into an identity.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.2022.2011569