Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 716176, 9 pages
doi:10.1155/2010/716176
Research Article

Uniform Convergence of Some Extremal Polynomials in Domain with Corners on the Boundary

M. Kucukaslan, C. Koşar, and F. G. Abdullayev

Department of Mathematics, Faculty of Science and Literature, Mersin University, 33343 Mersin, Turkey

Received 8 December 2009; Accepted 26 March 2010

Academic Editor: Yuming Xing

Copyright © 2010 M. Kucukaslan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The aim of this paper is to investigate approximation properties of some extremal polynomials in Ap1, p>0 space. We are interested in finding approximation rate of extremal polynomials to Riemann function in Ap1 and C-norms on domains bounded by piecewise analytic curve.