Asymptotics of Chebyshev polynomials. II: DCT subsets of \(\mathbb{R}\)

DOI10.1215/00127094-2018-0045zbMath1426.41035arXiv1709.06707OpenAlexW2964045975WikidataQ128627089 ScholiaQ128627089MaRDI QIDQ669569

Peter Yuditskii, Barry Simon, Maxim Zinchenko, Jacob Stordal Christiansen

Publication date: 15 March 2019

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06707

zbMATH Keywords

Chebyshev polynomialsdirect Cauchy theoremParreau-Widom setTotik-Widom boundWidom conjecture

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Polynomials and rational functions of one complex variable (30C10) Asymptotic representations in the complex plane (30E15)

Related Items (12)

Special Conformal Mappings and Extremal Problems ⋮ 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 ⋮ Mini-workshop: Reflectionless operators: the Deift and Simon conjectures. Abstracts from the mini-workshop held October 22--28, 2017 ⋮ Asymptotics of Chebyshev polynomials. IV: Comments on the complex case ⋮ Sharp lower bounds for the Widom factors on the real line ⋮ Computation of Chebyshev polynomials for union of intervals ⋮ Szegő's condition on compact subsets of \(\mathbb{C}\) ⋮ Pointwise Remez inequality

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