Chebyshev Polynomials on a System of Continua
Complex Variables
2014-04-15 v1
Abstract
The estimates of the uniform norm of the Chebyshev polynomial associated with a compact set consisting of a finite number of continua in the complex plane are established. These estimates are exact (up to a constant factor) in the case where the components of are either quasismooth (in the sense of Lavrentiev) arcs or closed Jordan domains bounded by a quasismooth curve.
Cite
@article{arxiv.1404.3340,
title = {Chebyshev Polynomials on a System of Continua},
author = {V. V. Andrievskii},
journal= {arXiv preprint arXiv:1404.3340},
year = {2014}
}