HERMITE INTERPOLATION ASSOCIATED WITH CERTAIN QUADRATIC POLYNOMIALS IN Rn

被引：0

作者：

Cuong, Le Ngoc ^{[1
]}

Dieu, Nguyen Quang ^{[2
,3
]}

Van Manh, Phung ^{[2
]}

机构：

[1] Thuongmai Univ, Dept Math, Hanoi, Vietnam

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

[3] Thang Long Univ, Thang Long Inst Math & Appl Sci, Hanoi, Vietnam

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2023年 / 53卷 / 03期

关键词：

Hermite interpolation; multivariate polynomial interpolation; UNIT-SPHERE; POINTS;

D O I：

10.1216/rmj.2023.53.725

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a set of explicit differential operators evaluated at a singular point on a quadratic hypersurface which gives a divisibility criterion. This result is then applied to collect interpolation conditions at distinct points to get new regular Hermite interpolation schemes in Rn.

引用

页码：725 / 736

页数：12

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