On Chebyshev polynomials in the complex plane
Complex Variables
2017-01-24 v1
Abstract
The estimates of the uniform norm of the Chebyshev polynomials associated with a compact set in the complex plane are established. These estimates are exact (up to a constant factor) in the case where consists of a finite number of quasiconformal curves or arcs. The case where is a uniformly perfect subset of the real line is also studied.
Cite
@article{arxiv.1701.06202,
title = {On Chebyshev polynomials in the complex plane},
author = {Vladimir Andrievskii},
journal= {arXiv preprint arXiv:1701.06202},
year = {2017}
}