Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szegő, Schiefermayr, and Totik–Widom Bounds

DOI10.1007/978-3-030-31531-3_15zbMath1448.41026arXiv1712.03482OpenAlexW3110438349MaRDI QIDQ5118018

Barry Simon, Maxim Zinchenko, Jacob Stordal Christiansen

Publication date: 26 August 2020

Published in: Analysis as a Tool in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03482

zbMATH Keywords

Chebyshev polynomialsTotik-Widom upper boundSzegő lower boundSchiefermayr lower bound

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Best approximation, Chebyshev systems (41A50) Polynomials and rational functions of one complex variable (30C10)

Related Items (10)

Norm estimates for Chebyshev polynomials. II ⋮ Norm estimates for Chebyshev polynomials, I. ⋮ Widom factors for generalized Jacobi measures ⋮ Asymptotics of Chebyshev polynomials. V: Residual polynomials ⋮ Widom factors and Szegő-Widom asymptotics, a review ⋮ On the Widom factors for \(L_p\) extremal polynomials ⋮ Asymptotics of Chebyshev polynomials. IV: Comments on the complex case ⋮ Sharp lower bounds for the Widom factors on the real line ⋮ Weighted Chebyshev polynomials on compact subsets of the complex plane ⋮ Extremal polynomials on a Jordan arc

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