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[1]
Quelques remarques sur l'interpolation[J] . Serge Bernstein.Mathematische Annalen . 1918 (1)
THE DIVERGENCE OF LAGRANGE INTERPOLATION IN EQUIDISTANT NODES
被引：1
作者：
Lu Zhikang and Xia Mao Hangzhou Teachers College ChinaDepartment of Mathematics Hangzhou Teachers College Hangzhou PRChina
[310012
]
机构：
关键词：
lagrange interpolation;
equidistant nodes;
divergence;
D O I：
暂无
中图分类号：
O174.21 [正交级数（傅里叶级数）];
学科分类号：
070104 ;
摘要：
<正> Abstract It is a classical result of Bernstein that the sequence of Lagrange interpolation polynomials to |x|at e-qually spaced nodes in[-1,1]diverges everywhere, except at zero and the end-points. In this paper weshow that the sequence of Lagrange interpolation polynomials corresponding to the functions which possessbetter smoothness on equidistant nodes in[-1,1]still diverges every where in the interval except at zero andthe end-points.
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页码：160 / 165
页数：6
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