摘要
样条插值函数作为工程中应用广泛的一类插值函数,其余项估计是样条函数逼近理论中的一个基本问题.对于足够光滑的二元函数f(x,y),其双三次样条函数s(x,y)不仅存在,而且有具体的计算方法.运用泰勒表达式的分析方法,对由双三次样条函数产生的误差估计进行了探讨,得到了一些具体的余项估计的误差限.
There are wide applications of the spline function in the engineering. The estimation of its remainder is a fundamental problem of approximating theory of spline function. If function f(x,y) has the nth derivatives(n is enough), Practical method of double cubic spline funciton is given in this research. If a function can be analyzed by means of taylor expansion, remainder term R(x,y) can be estimated.
出处
《江南大学学报（自然科学版）》
CAS
2003年第2期199-202,共4页
Joural of Jiangnan University (Natural Science Edition)
