Lp-error estimates for radial basis function interpolation on the sphere

Hubbert, Simon and Morton, T. (2004) Lp-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: https://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.

Metadata

Item Type:	Article
School:	Birkbeck Faculties and Schools > Faculty of Business and Law > Birkbeck Business School
Depositing User:	Sarah Hall
Date Deposited:	30 Jun 2020 14:14
Last Modified:	02 Aug 2023 18:00
URI:	https://eprints.bbk.ac.uk/id/eprint/32412

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