Abstract
The estimates of the uniform norm of the Chebyshev polynomials associated with a compact set K in the complex plane are established. These estimates are exact (up to a constant factor) in the case where K consists of a finite number of quasiconformal curves or arcs. The case where K is a uniformly perfect subset of the real line is also studied.
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Andrievskii, V.V. On Chebyshev polynomials in the complex plane. Acta Math. Hungar. 152, 505–524 (2017). https://doi.org/10.1007/s10474-017-0720-8
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DOI: https://doi.org/10.1007/s10474-017-0720-8