The Simultaneous Approximation Order by Hermite Interpolation in a Smooth Domain

被引：0

作者：

Tian Liang Tu

机构：

[1] North China Institute of Hydroelectricity,Department of Information Engineering

来源：

Acta Mathematica Sinica | 2002年 / 18卷

关键词：

Simultaneous appoximation; Hermite interpolation; Approximation order; Smooth domian; 30E05; 30E10; 41A05; 41A10; 41A28;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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

引用

页码：631 / 646

页数：15

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