Journal d’Analyse Mathematique

, 72:203

Kergin interpolants at the roots of unity approximate C2 functions

Article

DOI: 10.1007/BF02843159

Cite this article as:
Bos, L. & Calvi, JP. J. Anal. Math. (1997) 72: 203. doi:10.1007/BF02843159

Abstract

We establish a new formula for Kergin interpolation in the plane and use it to prove that the Kergin interpolation polynomials at the roots of unity of a function of classC2 in a neighborhood of the unit disc\({\mathbb{D}}\) converge uniformly to the function on\({\mathbb{D}}\).

Copyright information

© Hebrew University 1997

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada
  2. 2.Laboratoire de Mathématiques E. PicardUFRMIG Université Toulouse IIIToulouse CedexFrance