Weighted Chebyshev polynomials on compact subsets of the complex plane

DOI10.1007/978-3-030-75425-9_18zbMath1483.30023OpenAlexW3214590264MaRDI QIDQ2066123

Maxim Zinchenko, Galen Novello, Klaus Schiefermayr

Publication date: 13 January 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-75425-9_18

zbMATH Keywords

Bernstein-Walsh inequalityweighted Chebyshev polynomialsSzegő lower bound

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Polynomials and rational functions of one complex variable (30C10)

Related Items

Norm estimates for Chebyshev polynomials. II, Widom factors and Szegő-Widom asymptotics, a review

Cites Work

• Chebyshev polynomials for Julia sets
• On the Widom factors for \(L_p\) extremal polynomials
• Sharp lower bounds for the Widom factors on the real line
• The growth of polynomials outside of a compact set-the Bernstein-Walsh inequality revisited
• A lower bound for the minimum deviation of the Chebyshev polynomial on a compact real set
• Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szegő, Schiefermayr, and Totik–Widom Bounds
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