Approximation by weighted means of Walsh-Fourier series
type: Item
instance of: scholarly article
title: Approximation by weighted means of Walsh-Fourier series
zbMATH Open document ID: 0835.41023
DOI: 10.1155/S0161171296000014
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1996-04-08T00:00:00Z
full work available at URL: https://eudml.org/doc/47383
review text: Summary: We study the rate of approximation to functions in \(L^p\) and, in particular, in \(\text{Lip} (\alpha, p)\) by weighted means of their Walsh-Fourier series, where \(\alpha >0\) and \(1\leq p\leq \infty\). For the case \(p=\infty\), \(L^p\) is interpreted to be \(C_W\), the collection of uniformly \(W\) continuous functions over the unit interval \([0,1)\). We also note that the weighted mean kernel is quasi-positive, under fairly general conditions.
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 844394
author: Ferenc Móricz
author: Billy E. Rhoades
MaRDI profile type: Publication
OpenAlex ID: W2062115201
description: scientific article; zbMATH DE number 844394