Uniform Convergence of Extremal Polynomials When Domains Have Corners and Special Cusps on the Boundary

Fahreddin G. Abdullayev, Cem Koşar, Mehmet Kucukaslan

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DOI: 10.4236/apm.2011.16056                

Abstract

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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