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Properties of projections obtained by averaging certain polynomial interpolants

  • Judith Palagallo-Price
  • Thomas E. Price
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1287)

Abstract

We describe a way to compute polynomial approximants to analytic functions f(z) in the unit disk by forming the average of m polynomials of degree n−1, each of which interpolates f(z) at n equidistant points on the unit circle. The paper discusses properties of the projections so defined. Norms of these projections are calculated and the asymptotic behavior is characterized. Furthermore, these averages are used to approximate Laurent sections.

Keywords

Unit Circle Average Technique Laurent Series Lebesgue Constant Taylor Coefficient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Judith Palagallo-Price
    • 1
  • Thomas E. Price
    • 1
  1. 1.Department of Mathematical SciencesThe University of AkronAkron

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