Sharp Bounds for Lebesgue Constants of Barycentric Rational Interpolation at Equidistant Points
نویسندگان
چکیده
منابع مشابه
Barycentric rational interpolation at quasi-equidistant nodes
A collection of recent papers reveals that linear barycentric rational interpolation with the weights suggested by Floater and Hormann is a good choice for approximating smooth functions, especially when the interpolation nodes are equidistant. In the latter setting, the Lebesgue constant of this rational interpolation process is known to grow only logarithmically with the number of nodes. But ...
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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 importan...
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عنوان ژورنال:
- Experimental Mathematics
دوره 25 شماره
صفحات -
تاریخ انتشار 2016