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Discrete tchebycheff approximation for multivariate splines

✍ Scribed by Martin H. Schultz

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
254 KB
Volume
6
Category
Article
ISSN
0022-0000

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✦ Synopsis

In this paper we give the theoretical analysis for the combination of two ideas in numerical analysis. The first is to approximate the Tchebycheff approximation to a function over a continuum, X, in R M by Tchebycheff approximations over finite, discrete subsets of X, cf. [4, 5, 7, and 8], and the second is the use of multivariate spline functions as approximators. Experimental results for this combination have previously been reported in .

To be precise, let X be a compact subset of R M. If Y is any closed subset of X and g is a real-valued, continuous function on Y, let 11 g lit ~ max{[ g(Y)l [Y ~ Y}.

πŸ“œ SIMILAR VOLUMES

J. of comp. and sys. sci.: Schultz, M. H
J. of comp. and sys. sci.: Schultz, M. H. β€˜Discrete Tchebycheff approximation for multivariate splines’. Vol 6 (August 1972) No 4, pp.298–304
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