The approximation order of polysplines-Reference-Cited by-同舟云学术

The approximation order of polysplines

Published:2003-07-31 Issue:2 Volume:132 Page:455-461
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kounchev Ognyan,Render Hermann

Abstract

We show that the scaling spaces defined by the polysplines of order p p provide approximation order 2 p . 2p. For that purpose we refine the results on one-dimensional approximation order by L L -splines obtained by de Boor, DeVore, and Ron (1994).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-02/S0002-9939-03-07069-2/S0002-9939-03-07069-2.pdf

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4. Kounchev, O. I., Render, H., Multivariate cardinal splines via spherical harmonics. Submitted.

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