Chebyshev polynomials on a system of curves

DOI10.1007/s11854-012-0037-zzbMath1268.42046OpenAlexW2046381872MaRDI QIDQ351310

Vilmos Totik

Publication date: 11 July 2013

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: http://publicatio.bibl.u-szeged.hu/4415/1/Chebyshevoncurves.pdf

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)

Related Items (12)

Chebyshev polynomials on a system of continua ⋮ Norm estimates for Chebyshev polynomials. II ⋮ On the best linear approximation of holomorphic functions ⋮ Ahlfors problem for polynomials ⋮ Widom factors and Szegő-Widom asymptotics, a review ⋮ Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szegő, Schiefermayr, and Totik–Widom Bounds ⋮ Asymptotics of Christoffel functions on arcs and curves ⋮ Chebyshev Polynomials Associated with a System of Continua ⋮ On Chebyshev polynomials in the complex plane ⋮ On the Totik-Widom property for a quasidisk ⋮ Sharp lower bounds for the Widom factors on the real line ⋮ Chebyshev and fast decreasing polynomials

Cites Work

• The norm of minimal polynomials on several intervals
• Chebyshev constants and the inheritance problem
• On polynomials most deviating from zero on a domain boundary
• Description of extremal polynomials on several intervals and their computation. I
• Orthogonal and extremal polynomials on several intervals
• On the approximation of a continuum by lemniscates
• Conjugate algebraic integers in real point sets
• Asymptotics of Christoffel functions on arcs and curves
• Extremal polynomials associated with a system of curves in the complex plane
• Christoffel functions on curves and domains
• Effective approach to least deviation problems
• Representation of moduli spaces of curves and calculation of extremal polynomials
• Elliptic Orthogonal and Extremal Polynomials
• Effective computation of Chebyshev polynomials for several intervals
• Deformation of minimal polynomials and approximation of several intervals by an inverse polynomial mapping
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