Author(s)

Fahreddin G. Abdullayev, Cem Koşar, Mehmet Kucukaslan

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We study the approximation properties of the extremal polynomials in Ap?norm and C?norm. We prove estimates for the rate of such convergence of the sequence of the extremal polynomials on domains with corners and special cusps.

Uniform Approximation, Extremal Polynomials, Conformal Mapping, p-Bieberbach Polynomials

F. Abdullayev, C. Koşar and M. Kucukaslan, "Uniform Convergence of Extremal Polynomials When Domains Have Corners and Special Cusps on the Boundary," Advances in Pure Mathematics, Vol. 1 No. 6, 2011, pp. 305-314. doi: 10.4236/apm.2011.16056.