The Simultaneous Approximation Order by Hermite Interpolation in a Smooth Domain

作     者：Tian Liang TU Department of Information Engineering, North China Institute of Hydroelectricity, Zhengzhou 450045, P. R. China 

作者机构：Department of Information Engineering North China Institute of Hydroelectricity Zhengzhou P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2002年第18卷第4期

页      面：631-646页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by NSF of Henan Province (974050900) 

主　　题：Simultaneous appoximation Hermite interpolation Approximation order Smooth domian 

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 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.