Minimal polynomials for compact sets of the complex plane

DOI10.1007/BF02437504zbMath0878.41003MaRDI QIDQ1357539

Franz Peherstorfer

Publication date: 15 December 1997

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

zbMATH Keywords

Green's functionminimal polynomialequipotential line

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10)

Related Items (10)

Inverse images of polynomial mappings and polynomials orthogonal on them. ⋮ Inverse polynomial images are always sets of minimal logarithmic capacity ⋮ An upper bound for the norm of the Chebyshev polynomial on two intervals ⋮ Geometric Properties of Inverse Polynomial Images ⋮ The Pólya-Chebotarev problem and inverse polynomial images ⋮ A lower bound for the norm of the minimal residual polynomial ⋮ A density result concerning inverse polynomial images ⋮ Orthogonal and \(L_q\)-extremal polynomials on inverse images of polynomial mappings ⋮ Description of inverse polynomial images which consist of two Jordan arc with the help of Jacobi's elliptic functions ⋮ Deformation of minimal polynomials and approximation of several intervals by an inverse polynomial mapping

Cites Work

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• Orthogonal- and Chebyshev polynomials on two intervals
• Orthogonal polynomials in \(L^ 1\)-approximation
• Chebyshev polynomials for disjoint compact sets
• Orthogonal and extremal polynomials on several intervals
• On Bernstein-Szegö orthogonal polynomials on several intervals. II: Orthogonal polynomials with periodic recurrence coefficients
• Elliptic Orthogonal and Extremal Polynomials

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