A note on the best constants in some Hardy inequalities

A note on the best constants in some Hardy inequalities

The sharp constants in Hardy type inequalities are known only in a few cases. In this paper we discuss some situations when such sharp constants are known, but also some new sharp constants are derived both in one-dimensional and multi-dimensional cases.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of Mathematical Inequalities 2015, Vol.9 (2), p.437-447
Hauptverfasser: Persson, Lars-Erik, Samko, Stefan
Format: Artikel
Sprache:eng
Schlagworte:
Matematik
Mathematics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The sharp constants in Hardy type inequalities are known only in a few cases. In this paper we discuss some situations when such sharp constants are known, but also some new sharp constants are derived both in one-dimensional and multi-dimensional cases.
ISSN:1846-579X
1848-9575
DOI:10.7153/jmi-09-37