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

共 50 条

[21] Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions
Carnicer, JM
Gasca, M
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 119 (1-2) : 69 - 79
[22] Hermite–Birkhoff Interpolation Polynomial of Minimum Norm in Hilbert Space
O. F. Kashpur
Cybernetics and Systems Analysis, 2021, 57 : 803 - 808
[23] CHEBYSHEV APPROXIMATION BY THE SUM OF THE POLYNOMIAL AND LOGARITHMIC EXPRESSION WITH HERMITE INTERPOLATION
Malachivskyy, P. S.
Pizyur, Ya. V.
Andrunyk, V. A.
CYBERNETICS AND SYSTEMS ANALYSIS, 2018, 54 (05) : 765 - 770
[24] A new non‐polynomial univariate interpolation formula of Hermite type
Ghislain Franssens
Advances in Computational Mathematics, 1999, 10 : 367 - 388
[25] Hermite interpolation method (HiM): compact surface potential MOSFET model based on the Hermite polynomial
Colalongo, L.
Richelli, A.
Kovacs-Vajna, Zs. M.
ELECTRONICS LETTERS, 2016, 52 (17) : 1490 - 1491
[26] Hermite-Birkhoff Interpolation Polynomial of Minimum Norm in Hilbert Space
Kashpur, O. F.
CYBERNETICS AND SYSTEMS ANALYSIS, 2021, 57 (05) : 803 - 808
[27] ASYMPTOTIC REPRESENTATION FOR REMAINDER OF QUASI-HERMITE-FEJER INTERPOLATION POLYNOMIAL
XIE, TF
CHINESE ANNALS OF MATHEMATICS SERIES B, 1985, 6 (04) : 457 - 463
[28] Charge-based MOSFET model based on the Hermite interpolation polynomial
Colalongo, Luigi
Richelli, Anna
Kovacs, Zsolt
SOLID-STATE ELECTRONICS, 2017, 130 : 70 - 74
[29] ASYMPTOTIC REPRESENTATION FOR REMAINDER OF QUASI-HERMITE-FEJER INTERPOLATION POLYNOMIAL
谢庭藩
Chinese Annals of Mathematics, 1985, (04) : 457 - 463
[30] A new non-polynomial univariate interpolation formula of Hermite type
Franssens, G
ADVANCES IN COMPUTATIONAL MATHEMATICS, 1999, 10 (3-4) : 367 - 388

← 1 2 3 4 5 →