Open Access

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

Journal of Inequalities and Applications20102010:716176

https://doi.org/10.1155/2010/716176

Received: 8 December 2009

Accepted: 26 March 2010

Published: 6 May 2010

Abstract

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

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Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Science and Literature, Mersin University

Copyright

© M. Kucukaslan et al. 2010

This article is published under license to BioMed Central Ltd. 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.