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.

引用

页码：709 / 725

页数：17

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