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.
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页码：631 / 646
页数：16
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