Chebyshev constants and the inheritance problem

DOI10.1016/j.jat.2008.08.001zbMath1190.41002OpenAlexW2031806418MaRDI QIDQ1041630

Vilmos Totik

Publication date: 3 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.jat.2008.08.001

zbMATH Keywords

logarithmic capacityChebyshev constantsinheritance problemsets of finitely many intervals

Mathematics Subject Classification ID

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

Related Items (20)

Inverse polynomial mappings and interpolation on several intervals ⋮ An upper bound for the norm of the Chebyshev polynomial on two intervals ⋮ The Polynomial Inverse Image Method ⋮ Chebyshev polynomials on a system of curves ⋮ Widom factors for generalized Jacobi measures ⋮ Asymptotics of Chebyshev polynomials. V: Residual polynomials ⋮ 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 ⋮ A lower bound for the norm of the minimal residual polynomial ⋮ Mini-workshop: Reflectionless operators: the Deift and Simon conjectures. Abstracts from the mini-workshop held October 22--28, 2017 ⋮ Asymptotics of Chebyshev polynomials. II: DCT subsets of \(\mathbb{R}\) ⋮ Orthogonal polynomials associated with equilibrium measures on \(\mathbb {R}\) ⋮ Reflectionless discrete Schrödinger operators are spectrally atypical ⋮ Asymptotics of Chebyshev polynomials. I: Subsets of \({\mathbb {R}}\) ⋮ Asymptotics of Chebyshev polynomials. IV: Comments on the complex case ⋮ The norm of minimal polynomials on several intervals ⋮ Sharp lower bounds for the Widom factors on the real line ⋮ Extremal polynomials on a Jordan arc ⋮ Widom factors

Cites Work

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• ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A SYSTEM OF CONTOURS, AND PERIODIC MOTIONS OF TODA LATTICES
• Orthogonal Polynomials on Several Intervals Via a Polynomial Mapping
• Effective computation of Chebyshev polynomials for several intervals
• Deformation of minimal polynomials and approximation of several intervals by an inverse polynomial mapping
• Polynomial inverse images and polynomial inequalities

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