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Equidistribution of Fekete Points on the Sphere
Marzo Sánchez, Jordi; Ortega Cerdà, Joaquim
Universitat de Barcelona
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.
Anàlisi numèrica
Funcions especials
Numerical analysis
Special functions
(c) Springer Science + Business Media, 2009
Springer Science + Business Media

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