\(L_p\)-inverse theorem for modified beta operators
type: Item
instance of: scholarly article
title: \(L_p\)-inverse theorem for modified beta operators
zbMATH Open document ID: 1080.41016
DOI: 10.1155/S0161171203210103
author: Yanyan Li
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/52046
review text: Beta operators are linear positive operators defined on \(L_p\) function spaces of the nonnegative real line. In this paper, an inverse result is established that derives a certain \(L_p\) modulus of smoothness from the order of approximation that is obtained when using beta operators. For this the approximand must be from \(L_p[0,\infty)\), the modulus of smoothness is of order \(2k+2\), and the approximation order is \(\alpha/2\) with \(0<\alpha<2k+2\).
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A30
zbMATH DE Number: 1930029
zbMATH Keywords: inverse theorems
zbMATH Keywords: beta operators
reviewed by: Martin D. Buhmann
MaRDI profile type: Publication
OpenAlex ID: W2001042212
description: scientific article; zbMATH DE number 1930029