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Title of Journal: Numer Math

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Abbravation: Numerische Mathematik

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Springer-Verlag

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10.1007/bf02687200

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0945-3245

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On the Lebesgue constant of barycentric rational i

Authors: Len Bos Stefano De Marchi Kai Hormann Georges Klein
Publish Date: 2011/12/18
Volume: 121, Issue: 3, Pages: 461-471
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Abstract

Recent results reveal that the family of barycentric rational interpolants introduced by Floater and Hormann is very wellsuited 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

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