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On the maximum modulus of weighted polynomials in the plane, a theorem of Rakhmanov, Mhaskar and Saff revisited.

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Publication:1811605
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DOI10.1016/S0377-0427(02)00908-1zbMath1064.30004MaRDI QIDQ1811605

Steven B. Damelin

Publication date: 17 June 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

polynomialslogarithmic potentialmaximum modulus


Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10) Polynomials and rational functions of one complex variable (30C10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)


Related Items (1)

An Analytic and Numerical Analysis of Weighted Singular Cauchy Integrals with Exponential Weights on ℝ




Cites Work

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  • Weighted Lagrange and Hermite-Fejér interpolation on the real line
  • Orthogonal polynomials for weights close to indeterminacy
  • The support of the equilibrium measure in the presence of a monomial external field on $[-1,1$]




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