王子玉,田继善.关于用Hermitfe插值逼近函数及其导数的点态估计(英文)[J].数学研究及应用,1992,12(2):281~286 |
关于用Hermitfe插值逼近函数及其导数的点态估计(英文) |
On the Pointwise Estimation of Approximation of Functions and Their Derivatives by Hermite Interpolation |
投稿时间:1990-04-04 |
DOI:10.3770/j.issn:1000-341X.1992.02.024 |
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中文摘要: |
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. |
英文摘要: |
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 |
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