Asymptotic distribution of nodes for near-optimal polynomial interpolation on certain curves in \(\mathbb{R}^2\)

DOI10.1007/s00365-001-0020-xzbMath1004.30004OpenAlexW1964319843MaRDI QIDQ1601821

V. V. Maymeskul, Edward B. Saff, Mario Götz

Publication date: 27 June 2002

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-001-0020-x

zbMATH Keywords

Lebesgue constantsequilibrium distributionsFekete pointsmultivariate polynomial interpolationrational mappingalgebraic curves of genus \(0\)asymptotic interpolation measureAuerbach's theoremconstructing good points for interpolationpiecewise conies

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Multidimensional problems (41A63) Computational aspects of algebraic curves (14Q05) Proceedings, conferences, collections, etc. pertaining to functions of a complex variable (30-06) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Varieties and morphisms (14A10)

Related Items (3)

Distribution of nodes on algebraic curves in \({\mathbb C}^N\). ⋮ Fekete points and convergence towards equilibrium measures on complex manifolds ⋮ Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry

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