An Extension of a Result of Rivlin on Walsh Equiconvergence (Faber Nodes)

  • R. Brück
  • A. Sharma
  • R. S. Varga
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 119)


We continue our investigations of generalizations of Walsh’s equiconvergence theorem. The setting is a compact set E of the complex plane, whose complement is simply connected in the extended complex plane, and the Faber polynomials associated with E. Here, we study equiconvergence phenomena for differences of interpolating polynomials, defined by Lagrange (and Hermite) interpolants in zeros of associated Faber polynomials.


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Copyright information

© Birkhäuser 1994

Authors and Affiliations

  • R. Brück
    • 1
  • A. Sharma
    • 2
  • R. S. Varga
    • 3
  1. 1.Mathematisches InstitutJustus-Liebig-Universität GiessenGiessenGermany
  2. 2.Department of MathematicsUniversity of AlbertaEdmontonCanada
  3. 3.Institute for Computational MathematicsKent State UniversityKentUSA

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