Technical report detail

On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes

by Len Bos, Stefano De Marchi, Kai Hormann


It is well known that polynomial interpolation at equidistant nodes can give bad approximation results and that rational interpolation is a promising alternative in this setting. In this paper we confirm this observation by proving that the Lebesgue constant of Berrut's rational interpolant grows only logarithmically in the number of interpolation nodes. Moreover, the numerical results show that the Lebesgue constant behaves similarly for interpolation at Chebyshev as well as logarithmically distributed nodes.


Technical report 2011/01, February 2011

BibTex entry

@techreport{11on, author = {Len Bos and Stefano De Marchi and Kai Hormann}, title = {On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes}, institution = {University of Lugano}, number = {2011/01}, year = 2011, month = feb }
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