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.
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页码：403 / 425
页数：23
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