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.
Metadata
| 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: | Birkbeck Faculties and Schools > Faculty of Business and Law > Birkbeck Business School |
| Depositing User: | Administrator |
| Date Deposited: | 17 Jul 2006 |
| Last Modified: | 02 Aug 2023 16:47 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/394 |
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