On barycentric interpolation. I. (On the T-Lebesgue function and T-Lebesgue constant)

被引:0
|
作者
P. Vértesi
机构
[1] Alfréd Rényi Mathematical Institute of the Hungarian Academy of Sciences,
来源
Acta Mathematica Hungarica | 2015年 / 147卷
关键词
41A05; 41A44; 65D05; 65F35; classical Lagrange interpolation; barycentric Lagrange interpolation; Lebesgue function; Lebesgue constant;
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学科分类号
摘要
We prove theorems on the Lebesgue function and Lebesgue constant of barycentric Lagrange interpolation based on arbitrary node-sytem in [-1, 1]. It turns out that the results are very similar to the ones known for the classical Lagrange interpolation.
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页码:396 / 407
页数:11
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