Commutator properties for periodic splines
type: Item
instance of: scholarly article
title: Commutator properties for periodic splines
zbMATH Open document ID: 0926.41007
author: Ian H. Sloan
author: W. L. Wendland
published in: Journal of Approximation Theory
publication date: 1999-11-21T00:00:00Z
review text: Commutator properties are established for periodic splines with distinct uniformly spaced knots (on uniform meshes) operated on by certain pseudodifferential operators. The commutation involves the operations of multiplication by a smooth function and application of a discrete version of orthogonal projection obtained by using a quadrature rule (which need integrate only constants exactly) to approximate the inner product. The results mirror a well known super--approximation property of splines multiplied by smooth functions.
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 1278844
zbMATH Keywords: periodic splines
zbMATH Keywords: pseudodifferential operators
zbMATH Keywords: orthogonal projections
reviewed by: Richard A. Zalik
MaRDI profile type: Publication
full work available at URL: jath.1997.3276
OpenAlex ID: W2041899820
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DOI: 10.1006/JATH.1997.3276
description: scientific article; zbMATH DE number 1278844