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

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DOI: 10.4236/apm.2011.16056    3,310 Downloads   7,149 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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