HERMITE INTERPOLATION OF TYPE TOTAL DEGREE ASSOCIATED WITH CERTAIN SPACES OF POLYNOMIALS

被引：0

作者：

Le Ngoc Cuong ^{[1
]}

Ta Thi Thanh Mai ^{[2
]}

Phung Van Manh ^{[3
]}

机构：

[1] Thuongmai Univ, Dept Math, 79 Ho Tung Mau St, Hanoi, Vietnam

[2] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet St, Hanoi, Vietnam

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

来源：

MATHEMATICA SLOVACA | 2024年 / 74卷 / 01期

关键词：

Hermite interpolation; Hermite interpolation of type total degree; interpolation by homogeneous polynomials; MULTIVARIATE; CONTINUITY; POINTS;

D O I：

10.1515/ms-2024-0009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Hermite interpolation for the space of polynomials of total degree in R-N and the space of homogeneous polynomials in RN+1. We investigate the relations between the two types of Hermite interpolation. We show that they have the same regularity and continuity property. (c) 2024 Mathematical Institute Slovak Academy of Sciences

引用

页码：127 / 142

页数：16

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