Bernstein Polynomial Inequality on a Compact Subset of the Real Line
Complex Variables
2018-12-03 v1
Abstract
We prove an analogue of the classical Bernstein polynomial inequality on a compact subset of the real line. The Lipschitz continuity of the Green function for the complement of with respect to the extended complex plane and the differentiability at a point of of a special, associated with , conformal mapping of the upper half-plane onto the comb domain play crucial role in our investigation.
Cite
@article{arxiv.1811.12863,
title = {Bernstein Polynomial Inequality on a Compact Subset of the Real Line},
author = {Vladimir Andrievskii},
journal= {arXiv preprint arXiv:1811.12863},
year = {2018}
}