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Uniform Convergence of Extremal Polynomials When Domains Have Corners and Special Cusps on the Boundary
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Advances in Pure Mathematics·Volume 01 (2011)·Pages 305–314·Published 24 November 2011·DOI10.4236/apm.2011.16056
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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.
KeywordsUniform ApproximationExtremal PolynomialsConformal Mappingp-Bieberbach Polynomials
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