Multivariate interpolation and conditionally positive definite functions. II-Reference-Cited by-同舟云学术

Multivariate interpolation and conditionally positive definite functions. II

Published:1990 Issue:189 Volume:54 Page:211-230
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Madych W. R.,Nelson S. A.

Abstract

We continue an earlier study of certain spaces that provide a variational framework for multivariate interpolation. Using the Fourier transform to analyze these spaces, we obtain error estimates of arbitrarily high order for a class of interpolation methods that includes multiquadrics.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1990-54-189/S0025-5718-1990-0993931-7/S0025-5718-1990-0993931-7.pdf

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3. W. F. Donoghue, Distributions and Fourier transforms, Academic Press, New York, 1969.

4. Splines minimizing rotation-invariant semi-norms in Sobolev spaces;Duchon, Jean,1977

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