Journal of Applied Mathematics 
Volume 2004 (2004), Issue 5, Pages 371-378
doi:10.1155/S1110757X0430906X

Strong asymptotics for Lp extremal polynomials off a complex curve

Rabah Khaldi

 Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria
Received 29 September 2003; Revised 15 June 2004

Abstract

We study the asymptotic behavior of Lp(σ) extremal polynomials with respect to a measure of the form σ=α+γ, where α is a measure concentrated on a rectifiable Jordan curve in the complex plane and γ is a discrete measure concentrated on an infinite number of mass points.