Journal article

On the Lebesgue constant of barycentric rational interpolation at equidistant nodes

  • Bos, Len Department of Computer Science, University of Verona, Italy
  • De Marchi, Stefano Department of Pure and Applied Mathematics, University of Padova, Italy
  • Hormann, Kai Faculty of Informatics, University of Lugano, Switzerland
  • Klein, Georges Department of Mathematics, University of Fribourg, Switzerland
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  • Numerische Mathematik. - 2012, vol. 121, p. 461–471
English Recent results reveal that the family of barycentric rational interpolants introduced by Floater and Hormann is very well-suited for the approximation of functions as well as their derivatives, integrals and primitives. Especially in the case of equidistant interpolation nodes, these infinitely smooth interpolants offer a much better choice than their polynomial analogue. A natural and important question concerns the condition of this rational approximation method. In this paper we extend a recent study of the Lebesgue function and constant associated with Berrut’s rational interpolant at equidistant nodes to the family of Floater–Hormann interpolants, which includes the former as a special case.
Faculté des sciences et de médecine
Département de Mathématiques
  • English
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