On the Pointwise Estimation of Approximation of Functions and Their Derivatives by Hermite Interpolation  

关于用Hermitfe插值逼近函数及其导数的点态估计(英文)

作　　者：王子玉[1] 田继善[1] 

机构地区：[1]河南大学数学系

出　　处：《Journal of Mathematical Research and Exposition》1992年第2期281-286,共6页数学研究与评论（英文版）

摘　　要：In this note, we will give an estimation of the pointwise orders of approx-imation of functions and their derivatives by Hermite interpolation based on the roots of the first kind Chebychev polynomials. The results answer a problem posed by Xie Tingfan in [4].本文给出了以第一类Chebyshev多项式的零点为节点的Hermitfe插值多项式来逼近函数及其导数时的逼近阶的点态估计式,该结果回答了谢庭藩教授在文[4]中提出的问提.

关 键 词：插值多项式 函数逼近 Hermitfe 

分 类 号：O174.41[理学—数学]