On the spacing of Fekete points for a sphere, ball or simplex

DOI10.1016/S0019-3577(09)00002-0zbMath1161.41001OpenAlexW2049398787MaRDI QIDQ1005521

L. P. Bos, Shayne F. D. Waldron, Norman Levenberg

Publication date: 9 March 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(09)00002-0

zbMATH Keywords

Lagrange interpolation polynomialVandermonde determinantvariable metric methodpolynomial interpolationFekete points

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items

Hole probabilities for \(\beta\)-ensembles and determinantal point processes in the complex plane ⋮ Equidistribution of Fekete points on the sphere ⋮ Polynomial interpolation and cubature over polygons ⋮ On the generation of symmetric Lebesgue-like points in the triangle ⋮ Fekete polynomials and shapes of Julia sets ⋮ On generalized least power approximation ⋮ Computing approximate Fekete points by QR factorizations of Vandermonde matrices ⋮ Laplace Beltrami operator in the Baran metric and pluripotential equilibrium measure: the ball, the simplex, and the sphere ⋮ Computing Fekete and Lebesgue points: Simplex, square, disk ⋮ Tchakaloff polynomial meshes

Cites Work

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• Pseudometrics, distances and multivariate polynomial inequalities
• The theory of multi-dimensional polynomial approximation
• On the distribution of Fekete points