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http://hdl.handle.net/2445/43744
Title: | Equidistribution of Fekete Points on the Sphere |
Author: | Marzo Sánchez, Jordi Ortega Cerdà, Joaquim |
Keywords: | Anàlisi numèrica Funcions especials Numerical analysis Special functions |
Issue Date: | 7-Apr-2009 |
Publisher: | Springer Science + Business Media |
Abstract: | Fekete points are the points that maximize a Vandermonde-type determinant that appears in the polynomial Lagrange interpolation formula. They are well suited points for interpolation formulas and numerical integration. We prove the asymptotic equidistribution of Fekete points in the sphere. The way we proceed is by showing their connection to other arrays of points, the so-called Marcinkiewicz-Zygmund arrays and interpolating arrays, that have been studied recently. |
Note: | Versió postprint del document publicat a: http://dx.doi.org/10.1007/s00365-009-9051-5 |
It is part of: | Constructive Approximation, 2010, vol. 32, num. 3, p. 513-521 |
URI: | http://hdl.handle.net/2445/43744 |
Related resource: | http://dx.doi.org/10.1007/s00365-009-9051-5 |
ISSN: | 0176-4276 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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567421.pdf | 182.22 kB | Adobe PDF | View/Open |
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