On the polynomial approximation of a conformal mapping of a domain with nonzero corner

  • T. M. Zherebko Київ. нац. ун-т iм. Т. Шевченка

Abstract

Let $G$ be a bounded domain with a Jordan boundary that is smooth at all points except a single point at which it forms a nonzero angle. We prove Korevaar’s conjecture on the order of polynomial approximation of a conformal mapping of this domain into a disk. We also obtain a pointwise estimate for the error of approximation.
Published
25.09.2011
How to Cite
ZherebkoT. M. “On the Polynomial Approximation of a Conformal Mapping of a Domain With Nonzero Corner”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 9, Sept. 2011, pp. 1285-9, https://umj.imath.kiev.ua/index.php/umj/article/view/2805.
Section
Short communications