Sobolev-type error estimates for interpolation by radial basis functions

Wendland, Holger (1997) Sobolev-type error estimates for interpolation by radial basis functions. Surface Fitting and Multiresolution Methods . Vanderbilt University Press.

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Abstract

We generalize techniques dating back to Duchon [4] for error estimates for interpolation by thin plate splines to basis functions with positive and algebraically decaying Fourier transform. We include Lp-estimates for 1 p ! 2 that can also be applied to thin plate spline approximation. x1.

Item Type: Edited Book
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: EPrints Services
Date Deposited: 06 Feb 2012 21:14
Last Modified: 10 Jul 2012 14:26
URI: http://sro.sussex.ac.uk/id/eprint/30453
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