On the Lebesgue constant of barycentric rational interpolation at equidistant nodes

被引：48

作者：

Bos, Len ^{[1
]}

De Marchi, Stefano ^{[2
]}

Hormann, Kai ^{[3
]}

Klein, Georges ^{[4
]}

机构：

[1] Univ Verona, Dept Comp Sci, I-37134 Verona, Italy

[2] Univ Padua, Dept Pure & Appl Math, I-35121 Padua, Italy

[3] Univ Lugano, Fac Informat, CH-6904 Lugano, Switzerland

[4] Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland

来源：

NUMERISCHE MATHEMATIK | 2012年 / 121卷 / 03期

基金：

瑞士国家科学基金会;

关键词：

RATES;

D O I：

10.1007/s00211-011-0442-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：461 / 471

页数：11

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