用低次叠样条函数逼近导函数

ON APPROXIMATING THE DERIVATIVE OF A FUNCTION BY LOW ORDER SPLINE-ON-SPLINE

本文讨论了用低次样条函数的叠样条来逼近导函数的问题.给出了叠样条的构造、误差分析及余项的逐项渐进展开式.

In this paper, we discuss the method of approximating the derivative of a function by a quadratic spline-on-spline. We obtain the asymptotic expansion of it, and give the asymptotic expansion of the cubic spline-on-spline based on the paper (3).