Weighted polynomial approximation for weights with slowly varying extremal density

DOI10.1006/jath.1998.3319zbMath0936.41008OpenAlexW2053511324MaRDI QIDQ1305498

Vilmos Totik

Publication date: 11 November 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1998.3319

zbMATH Keywords

weighted polynomial approximationslowly varying functionsweighted energy problem

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by other special function classes (41A30)

Related Items

An update on orthogonal polynomials and weighted approximation on the real line, Smooth equilibrium measures and approximation, Weighted approximation for weak convex external fields, Rates of convergence of multipoint rational approximants and quadrature formulas on the unit circle, Asymptotics for Christoffel functions with varying weights, Orthogonal polynomials with respect to varying weights, Bounds for orthogonal polynomials for exponential weights, Weighted rational approximation in the complex plane

Cites Work

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• Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\)
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• A note on weighted polynomial approximation with varying weights