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L_(p)-error estimates for radial basis function interpolation on the sphere

By Simon Hubbert and Tanya M. Morton

Abstract

In this paper we review the variational approach to radial basis function interpolation on the sphere and establish new Lp-error bounds, for p[1,∞]. These bounds are given in terms of a measure of the density of the interpolation points, the dimension of the sphere and the smoothness of the underlying basis function

Topics: ems
Publisher: Elsevier
Year: 2004
OAI identifier: oai:eprints.bbk.ac.uk.oai2:394

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