Hardy's inequality - a complement
type: Item
instance of: scholarly article
title: Hardy's inequality - a complement
zbMATH Open document ID: 0661.46022
DOI: 10.1007/BF01180689
author: Jöran Bergh
published in: Mathematische Zeitschrift
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174081
review text: We present the following complement to Hardy's inequality: \[ \int^{\infty}_{0}(t^{-1}\int^{\infty}_{t}f(s)ds)^ pdt\leq \pi p/\sin \pi p\int^{\infty}_{0}f(t)^ pdt, \] where \(0<p<1\) and f is non-negative and non-increasing. A discrete analogue is also given.
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 4080152
zbMATH Keywords: complement to Hardy's inequality
zbMATH Keywords: discrete analogue
MaRDI profile type: Publication
OpenAlex ID: W2163676513
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description: scientific article; zbMATH DE number 4080152