On local and controlled approximation order
type: Item
instance of: scholarly article
title: On local and controlled approximation order
zbMATH Open document ID: 0789.41011
author: E. J. Halton
author: W. A. Light
published in: Journal of Approximation Theory
publication date: 1994-05-30T00:00:00Z
review text: The authors deal with approximations to smooth functions by objects which are essentially discrete convolutions. The purpose is to get error estimates for approximation power of dilates of these convolutions in terms of the dilation parameter \(h\). ``The authors have done it in this paper via well-known strange Fix conditions, but there are some important modifications to previous treatments of this theory. In particular, the function used to generate the discrete convolution may or may not have compact support. This paper obtains a coherent theory for both these cases.
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 205424
zbMATH Keywords: discrete convolutions
zbMATH Keywords: strange Fix conditions
MaRDI profile type: Publication
full work available at URL: jath.1993.1021
OpenAlex ID: W2061597130
DOI: 10.1006/JATH.1993.1021
description: scientific article; zbMATH DE number 205424