Approximation orders of and approximation maps from local principal shift-invariant spaces
type: Item
instance of: scholarly article
title: Approximation orders of and approximation maps from local principal shift-invariant spaces
zbMATH Open document ID: 0831.41007
author: A. Ron
published in: Journal of Approximation Theory
publication date: 1996-02-20T00:00:00Z
review text: Let \(S\) be a shift-invariant subspace of \(L_p (\mathbb{R}^d)\), \(2\leq p\leq \infty\), which is generated by the shifts of one compactly supported function. In this paper the approximation order of \(S\) is considered by constructing explicit approximation maps. The approach avoids quasi-interpolation and applies to stationary and non-stationary refinements. The general results are specialized to box spline spaces, to obtain explicit approximation schemes that realize the approximation orders.
reviewed by: Zhang Guanglu
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A99
zbMATH DE Number: 756641
zbMATH Keywords: quasi-interpolation
MaRDI profile type: Publication
OpenAlex ID: W2022441408
DOI: 10.1006/JATH.1995.1032
description: scientific article; zbMATH DE number 756641