On the Hermite interpolation polynomial

被引：0

作者：

Pop, Ovidiu T. ^{[1
]}

Barbosu, Dan ^{[2
]}

机构：

[1] Natl Coll Mihai Eminescu, Mihai Eminescu St 5, Satu Mare 440014, Romania

[2] North Univ Baia Mare, Dept Math & Comp Sci, Baia Mare 430122, Romania

来源：

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2010年 / 37卷 / 01期

关键词：

Hermite interpolation polynomial; divided difference with multiple knots; uniform convergence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Newton form for the Hermite interpolation polynomial using the divided differences with multiple knots is proved. Using this representation, sufficient conditions for the convergence of the sequence of Hermite interpolation polynomials are established. One extends this way a result obtained by M. Ivan, regarding to sufficient conditions for the uniform convergence of the sequence of Lagrange polynomials.

引用

页码：104 / 109

页数：6

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