Convergence of Lagrange Interpolation Polynomials for Piecewise Smooth Functions

被引：0
|
作者：
S. P. Zhou
L. Y. Zhu
机构：
[1] Ningbo University,The Mathematical Institute
[2] People's University of China,Department of Information
来源：
Acta Mathematica Hungarica | 2001年 / 93卷
关键词：
Lagrange interpolation; piecewise smooth functions;
D O I：
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学科分类号：
摘要：
The present paper first establishes a decomposition result for f(x)∈ CrCr+1. By using this decomposition we thus can obtain an estimate of ∣f(x) - Ln(f,x)∣ which reflects the influence of the position of the x's and ω(f(r+1),δ)j, j = 0,1,...,s, on the error of approximation.
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页码：71 / 76
页数：5
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