Polynomial interpolation in R2 and on the unit sphere in R3

被引：0

作者：

Phung, V. M. ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy St, Hanoi, Vietnam

来源：

ACTA MATHEMATICA HUNGARICA | 2017年 / 153卷 / 02期

关键词：

Lagrange interpolation; Hermite interpolation; Bos configuration; MULTIVARIATE LAGRANGE INTERPOLATION; BIVARIATE HERMITE INTERPOLATION; CONTINUITY; POINTS;

D O I：

10.1007/s10474-017-0760-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct new Hermite interpolation schemes in , and Lagrange and Hermite interpolation schemes on the unit sphere in . We show that the Hermite projectors in are the limits of Lagrange projectors at Bos configurations distributed on lines and circles in . Using this result we prove that the Lagrange projectors on the unit sphere converge to the Hermite projectors when the interpolation points coalesce.

引用

页码：289 / 317

页数：29

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