Title
Bounding the Lebesgue constant for Berrut's rational interpolant at general nodes.
Abstract
It has recently been shown that the Lebesgue constant for Berrut’s rational interpolant at equidistant nodes grows logarithmically in the number of interpolation nodes. In this paper we show that the same holds for a very general class of well-spaced nodes and essentially any distribution of nodes that satisfies a certain regularity condition, including Chebyshev–Gauss–Lobatto nodes as well as extended Chebyshev nodes.
Year
DOI
Venue
2013
10.1016/j.jat.2013.01.004
Journal of Approximation Theory
Keywords
Field
DocType
Barycentric rational interpolation,Lebesgue constant
Equidistant,Chebyshev nodes,Discrete mathematics,Mathematical analysis,Interpolation,Lebesgue integration,Mathematics,Bounding overwatch
Journal
Volume
ISSN
Citations 
169
0021-9045
1
PageRank 
References 
Authors
0.39
4
4
Name
Order
Citations
PageRank
Len Bos113024.32
Stefano De Marchi215725.16
Kai Hormann372653.94
Jean Sidon411.06