Computational Methods and Function Theory 1 (2001), No. 1, 165--177
Copyright Heldermann Verlag 2001
Vladimir V. Andrievskii
andriyev@mcs.kent.edu, Department of Mathematical Sciences, Kent State University, Kent, OH 44242, U.S.A.
Let $G\subset \mathbb{C}$ be an arbitrary quasidisk, and $f$ be analytic in $G$ and continuous on $\overline{G}$. We prove two theorems (direct and inverse) establishing a connection between the rate of polynomial approximation of the function $f$ on the boundary $\partial G$ and its smoothness properties.
Keywords: Polynomial approximation, constructive description, quasidisk.
MSC 2000: Primary 30E10.
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