Uniform convergence of Lagrange interpolation based on the Jacobi nodes

被引：3
|
作者：
Kvernadze, G
机构：
[1] Dept. of Mathematics and Statistics, University of New Mexico, Albuquerque
来源：
JOURNAL OF APPROXIMATION THEORY | 1996年 / 87卷 / 02期
关键词：
D O I：
10.1006/jath.1996.0100
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary and sufficient conditions are obtained for a continuous function guaranteeing the uniform convergence on the whole interval [-1, 1] of its Lagrange interpolant based on the Jacobi nodes. The conditions are in terms of Lambda-variation, Phi-variation, the modulus of variation, and the Banach indicatrix of a function. (C) 1996 Academic Press. Inc.
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页码：179 / 193
页数：15
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