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 |
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School: | School of Business, Economics & Informatics > Economics, Mathematics and Statistics |
Depositing User: | Sarah Hall |
Date Deposited: | 30 Jun 2020 14:14 |
Last Modified: | 30 Jun 2020 14:14 |
URI: | https://eprints.bbk.ac.uk/id/eprint/32412 |
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