The Simultaneous Approximation Order by Hermite Interpolation in a Smooth Domain

被引：0

作者：

Tian Liang TU Department of Information Engineering

机构：

来源：

ActaMathematicaSinica(EnglishSeries) | 2002年 / 18卷 / 04期

关键词：

Simultaneous appoximation; Hermite interpolation; Approximation order; Smooth domian;

D O I：

暂无

中图分类号：

O174.42 [插值论];

学科分类号：

070104 ;

摘要：

Let D be a smooth domain in the complex plane. In D consider the simultaneous ap-proximation to a function and its ith (0≤i≤q) derivatives by Hermite interpolation. The orders ofuniform approximation and approximation in the mean, are obtained under some domain boundaryconditions. Some known results are included as particular cases of the theorems of this paper.

引用

页码：631 / 646

页数：16

共 50 条

[1] The simultaneous approximation order by Hermite interpolation in a smooth domain
Tu, TL
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2002, 18 (04) : 631 - 646
[2] The Simultaneous Approximation Order by Hermite Interpolation in a Smooth Domain
Tian Liang Tu
Acta Mathematica Sinica, 2002, 18 : 631 - 646
[3] SIMULTANEOUS APPROXIMATION BY HERMITE INTERPOLATION OF HIGHER-ORDER
DELLAVECCHIA, B
MASTROIANNI, G
VERTESI, P
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 50 (1-3) : 233 - 240
[4] ON THE ORDER OF CONVERGENCE OF SIMULTANEOUS APPROXIMATION BY LAGRANGE-HERMITE INTERPOLATION
KILGORE, T
PRESTIN, J
MATHEMATISCHE NACHRICHTEN, 1991, 150 : 143 - 150
[5] ON THE SIMULTANEOUS APPROXIMATION OF DERIVATIVES BY LAGRANGE AND HERMITE INTERPOLATION
BALAZS, K
KILGORE, T
JOURNAL OF APPROXIMATION THEORY, 1990, 60 (02) : 231 - 244
[6] Simultaneous Approximation of Sobolev Classes by Piecewise Cubic Hermite Interpolation
Xu, Guiqiao
Zhang, Zheng
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2014, 7 (03) : 317 - 333
[7] Exact order of pointwise estimates for polynomial approximation with Hermite interpolation
Kopotun, Ka
Leviatan, D.
Shevchuk, I. A.
JOURNAL OF APPROXIMATION THEORY, 2021, 264
[8] THE SIMULTANEOUS APPROXIMATION OF QUASI-HERMITE INTERPOLATION ON THE WEIGHTED MEAN NORM
Xu, Guiqiao
Cui, Ran
Wang, Xin
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2009, 7 (06) : 825 - 837
[9] Exact Constants for Simultaneous Approximation of Sobolev Classes by Piecewise Hermite Interpolation
G. Q. Xu
Y. P. Liu
L. Y. Xiong
Analysis Mathematica, 2019, 45 : 621 - 645
[10] Exact Constants for Simultaneous Approximation of Sobolev Classes by Piecewise Hermite Interpolation
Xu, G. Q.
Liu, Y. P.
Xiong, L. Y.
ANALYSIS MATHEMATICA, 2019, 45 (03) : 621 - 645

← 1 2 3 4 5 →