On Configurations of Points on the Sphere and Applications to Approximation of Holomorphic Functions by Lagrange Interpolants

被引：1

作者：

Phung Van Manh ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2015年 / 15卷 / 03期

关键词：

Lagrange interpolation; Chung-Yao lattices; Configurations on spheres;

D O I：

10.1007/s40315-015-0106-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study certain configurations of points on the unit sphere in R-N. As an application, we prove that the sequence of Lagrange interpolation polynomials of holomorphic functions at certain Chung-Yao lattices converge uniformly to the interpolated functions.

引用

页码：403 / 425

页数：23

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