Hermite interpolation with symmetric polynomials

被引：7
|
作者：
Phung Van Manh [1 ]
机构：
[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy St, Hanoi, Vietnam
来源：
NUMERICAL ALGORITHMS | 2017年 / 76卷 / 03期
关键词：
Polynomial interpolation; Hermite interpolation; Multipoint berzolari-radon set; LAGRANGE; POINTS;
D O I：
10.1007/s11075-017-0278-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Hermite interpolation problem on the spaces of symmetric bivariate polynomials. We show that the multipoint Berzolari-Radon sets solve the problem. We also give a Newton formula for the interpolation polynomial and use it to prove a continuity property of the interpolation polynomial with respect to the interpolation points.
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页码：709 / 725
页数：17
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