Hermite interpolation on algebraic curves in C2

被引：3
|
作者：
Phung Van Manh [1 ]
Nguyen Van Minh [2 ]
Phan Thi Huong [2 ]
机构：
[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy St, Hanoi, Vietnam
[2] Foreign Trade Univ, Dept Math, 91 Chua Lang St, Hanoi, Vietnam
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2019年 / 30卷 / 05期
关键词：
Hermite interpolation; Polynomial interpolation; Interpolation on algebraic curves; CONTINUITY; POINTS;
D O I：
10.1016/j.indag.2019.07.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Hermite interpolation on irreducible algebraic curves in C-2. We prove that the Hermite interpolation polynomials are well-defined in neighborhoods of Taylorian points and continuous with respect to interpolation points. We provide an application to the study of a continuity property of certain bivariate Hermite projectors. (C) 2019 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
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页码：874 / 890
页数：17
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