Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2514

 Title: Lp extremal polynomials. Results and perspectives Authors: Laskri, YaminaBenzine, Rachid Keywords: Asymptotic BehaviourOrthogonal PolynomialsLp Extremal PolynomialsCurveArcCircleSegment Issue Date: 2006 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 32, No 2-3, (2006), 99p-130p Abstract: Let α = β+γ be a positive finite measure defined on the Borel sets of C, with compact support, where β is a measure concentrated on a closed Jordan curve or on an arc (a circle or a segment) and γ is a discrete measure concentrated on an infinite number of points. In this survey paper, we present a synthesis on the asymptotic behaviour of orthogonal polynomials or Lp extremal polynomials associated to the measure α. We analyze some open problems and discuss new ideas related to their solving. Description: 2000 Mathematics Subject Classification: 30C40, 30D50, 30E10, 30E15, 42C05. URI: http://hdl.handle.net/10525/2514 ISSN: 1310-6600 Appears in Collections: Volume 32, Number 2-3

Files in This Item:

File Description SizeFormat