On Chebyshev polynomials in the complex plane

2017/01/22 by Andrievskii, Vladimir · 1 citation
#30A10 #30C10 #30C62 #30E10 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1701.06202

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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