The approximation order of polysplines

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Title: The approximation order of polysplines
Authors: Kounchev, Ognyan
Render, Hermann
Permanent link: http://hdl.handle.net/10197/5519
Date: Jul-2004
Abstract: We show that the scaling spaces de ned by the polysplines of order p provide approximation order 2p: For that purpose we re ne the re- sults on one dimensional approximation order by L-splines obtained in [2].
Type of material: Journal Article
Publisher: American Mathematical Society
Copyright (published version): 2004 American Mathematical Society
Keywords: Cardinal splines;Cardinal L-splines;Polysplines;Approximation order of splines;Polyharmonic functions;Cardinal polysplines
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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