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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

On Asymptotics of Lp Extremal Polynomials on a Complex Curve Plus an Infinite Number of Points

Yamina Laskri and Rachid Benzine

Abstract

We study, for all p>0 and under certain conditions the asymptotic behavior of Lp extremal polynomials with respect to the measure α=β+Y. Where, β denotes a positive Szegö measure on the closed rectifiable Jordan curve E in the complex plane and γ has an infinity of masses in the region exterior to the curve E.

Journal of Mathematics and Statistics
Volume 1 No. 3, 2005, 212-216

DOI: https://doi.org/10.3844/jmssp.2005.212.216

Published On: 30 September 2005

How to Cite: Laskri, Y. & Benzine, R. (2005). On Asymptotics of Lp Extremal Polynomials on a Complex Curve Plus an Infinite Number of Points. Journal of Mathematics and Statistics, 1(3), 212-216. https://doi.org/10.3844/jmssp.2005.212.216

Open AccessCopyright: © 2005 Yamina Laskri and Rachid Benzine. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Asymptotic behavior
  • Lp extremal polynomials