2017
Том 69
№ 9

All Issues

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

Zherebko T. M.

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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.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 9, pp 1464-1469.

Citation Example: Zherebko T. M. On the polynomial approximation of a conformal mapping of a domain with nonzero corner // Ukr. Mat. Zh. - 2011. - 63, № 9. - pp. 1285-1289.

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