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

Hubbert, Simon and Morton, Tanya M. (2004) L_(p)-error estimates for radial basis function interpolation on the sphere. Journal of Approximation Theory 129 (1), pp. 58-77. ISSN 0021-9045.

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Official URL: http://dx.doi.org/10.1016/j.jat.2004.04.006

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.

Item Type: Article
Additional Information: At the time this paper was published, the first author was at Lehrstuhl für Numerische Mathematik, Justus-Liebig-Universität, Heinrich-Buff-Ring 44, Giessen 35392, Germany. He is now Lecturer in Mathematics at Birkbeck College.
Keyword(s) / Subject(s): Approximation theory, Error estimates, Radial basis functions
School or Research Centre: Birkbeck Schools and Research Centres > School of Business, Economics & Informatics > Economics, Mathematics and Statistics
Depositing User: Administrator
Date Deposited: 17 Jul 2006
Last Modified: 17 Apr 2013 12:32
URI: http://eprints.bbk.ac.uk/id/eprint/394

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