Abdullayev, F. G. Uniform convergence of the generalized Bieberbach polynomials in regions with non-zero angles. (English) Zbl 0904.41003 Acta Math. Hung. 77, No. 3, 223-246 (1997). The Bieberbach polynomials \(P_n\) realize the minimum of a norm \(\| \phi_p-P_n\|_{L^1_p(G)}\) where \(\phi_p\) is an integral of \((\phi')^{2/p}\) and \(\phi\) is the conformal mapping of a finite complex domain \(G\) onto a disk. The author extends the uniform convergence of the Bieberbach polynomials to \(\phi_p(z)\) on \(\overline G\) and estimates the parameter \(\gamma\) of a bound \(\text{const.}/n^\gamma\) of the above norm. The approximation rate of the Bergman polynomials of \(G\) is also studied. Reviewer: Jacek Gilewicz (Marseille) Cited in 8 Documents MSC: 41A10 Approximation by polynomials 30C20 Conformal mappings of special domains Keywords:polynomial approximation; geometric properties of conformal mapping PDFBibTeX XMLCite \textit{F. G. Abdullayev}, Acta Math. Hung. 77, No. 3, 223--246 (1997; Zbl 0904.41003) Full Text: DOI