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Strong asymptotics for Lp extremal polynomials (1<p≤∞) associated with weights on [−1, 1]

  • D. S. Lubinsky
  • E. B. Saff
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1287)

Abstract

While Szegö type asymptotics of orthonormal polynomials are classical, there has been a longstanding lack of corresponding results for Lp extremal polynomials, p≠2. In particular, in a 1969 paper, Widom raised the question of p=∞. Here we fill some of the gaps for 1<p≤∞.

AMS (MOS) Classification

Primary 41A60 42C05 

Key Words and Phrases

Extremal polynomials strong or power or Szegö asymptotics 

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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • D. S. Lubinsky
    • 1
  • E. B. Saff
    • 2
  1. 1.National Research Institute for Mathematical Sciences C.S.I.R.PretoriaRep. of South Africa
  2. 2.Institute for Constructive Mathematics Department of MathematicsUniversity of South FloridaTampaUSA

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