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.

引用

页码：179 / 193

页数：15

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