A Landau-Kolmogorov inequality for Orlicz spaces
type: Item
instance of: scholarly article
title: A Landau-Kolmogorov inequality for Orlicz spaces
zbMATH Open document ID: 1019.26002
DOI: 10.1155/S1025583402000346
author: Ha Huy Bang
author: Mai Thi Thu
published in: Journal of Inequalities and Applications
publication date: 2003-05-14T00:00:00Z
full work available at URL: https://eudml.org/doc/122826
review text: It is shown that for the half-line \(\mathbb{R}_+\) and any Young function with corresponding Orlicz norm the Landau inequality \[ \|f^{(k)}\|^n\leq K(k, n)\|f\|^{n- k}\|f^{(n)}\|^k,\quad 0< k< n, \] holds with optimal \(K(k,n)=\) the \(K\) for the \(L^\infty\)-norm on \(\mathbb{R}_+\); the same holds for any Luxemburg norm.
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 1910306
zbMATH Keywords: Landau-Kolmogorov inequality
zbMATH Keywords: Orlicz norm
zbMATH Keywords: Luxemburg norm
reviewed by: Hans Günzler
MaRDI profile type: Publication
OpenAlex ID: W1993185037
description: scientific article; zbMATH DE number 1910306