TY - JOUR AU - T. M. Zherebko PY - 2011/09/25 Y2 - 2024/03/28 TI - On the polynomial approximation of a conformal mapping of a domain with nonzero corner JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 63 IS - 9 SE - Short communications DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2805 AB - Let $G$ be a bounded domain with a Jordan boundary that is smooth at all points except a single point atwhich it forms a nonzero angle. We prove Korevaar’s conjecture on the order of polynomial approximationof a conformal mapping of this domain into a disk. We also obtain a pointwise estimate for the error ofapproximation. ER -