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.
