TITLE:
Uniform Convergence of Extremal Polynomials When Domains Have Corners and Special Cusps on the Boundary
AUTHORS:
Fahreddin G. Abdullayev, Cem Koşar, Mehmet Kucukaslan
KEYWORDS:
Uniform Approximation, Extremal Polynomials, Conformal Mapping, p-Bieberbach
Polynomials
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.6,
November
24,
2011
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.