Chebyshev polynomials on compact sets

DOI10.1007/s11118-013-9357-6zbMath1297.31005OpenAlexW2035835808MaRDI QIDQ2248982

Vilmos Totik

Publication date: 27 June 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: http://publicatio.bibl.u-szeged.hu/3202/1/Chebyshevongeneralsets.pdf

zbMATH Keywords

Chebyshev polynomialslogarithmic capacitycompact setsminimal norm

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (19)

Chebyshev polynomials on a system of continua ⋮ An upper bound for the norm of the Chebyshev polynomial on two intervals ⋮ The growth of polynomials outside of a compact set-the Bernstein-Walsh inequality revisited ⋮ Widom factors for generalized Jacobi measures ⋮ Asymptotics of Chebyshev polynomials. V: Residual polynomials ⋮ Widom factors and Szegő-Widom asymptotics, a review ⋮ Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szegő, Schiefermayr, and Totik–Widom Bounds ⋮ On the Widom factors for \(L_p\) extremal polynomials ⋮ Asymptotic Properties of Jacobi Matrices for a Family of Fractal Measures ⋮ Chebyshev Polynomials Associated with a System of Continua ⋮ On Chebyshev polynomials in the complex plane ⋮ Orthogonal polynomials associated with equilibrium measures on \(\mathbb {R}\) ⋮ Asymptotics of Chebyshev polynomials. I: Subsets of \({\mathbb {R}}\) ⋮ On the Totik-Widom property for a quasidisk ⋮ Sharp lower bounds for the Widom factors on the real line ⋮ Multiplicity of zeros of polynomials ⋮ Extremal polynomials on a Jordan arc ⋮ Chebyshev and fast decreasing polynomials ⋮ Widom factors

Cites Work

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• The norm of minimal polynomials on several intervals
• Asymptotics of Christoffel functions on arcs and curves
• Konforme Abbildung und Fekete-Punkte
• Extremal polynomials associated with a system of curves in the complex plane
• A lower bound for the minimum deviation of the Chebyshev polynomial on a compact real set
• Christoffel functions on curves and domains
• Deformation of minimal polynomials and approximation of several intervals by an inverse polynomial mapping

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