Lagrange interpolation on Chebyshev points of two variables

被引：62

作者：

Xu, Y

机构：

[1] Department of Mathematics, University of Oregon, Eugene

来源：

JOURNAL OF APPROXIMATION THEORY | 1996年 / 87卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jath.1996.0102

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study interpolation polynomials based on the points in [-1, 1] x [-1, 1] that are common zeros of quasi-orthogonal Chebyshev polynomials and nodes of near minimal degree cubature formula. With the help of the cubature formula we establish the mean convergence of the interpolation polynomials. (C) 1996 Academic Press. Inc.

引用

页码：220 / 238

页数：19

共 17 条

[1]

[Anonymous], COMMON ZEROS POLYNOM

[2] Fejer means for multivariate Fourier series [J].