一类m阶基数B-样条小波插值的误差估计

Estimation for a class of m order potence B-spline wavelet interpolation error

主要针对基数B-样条函数及其基本性质,研究一类m阶基数B-样条小波插值的误差估计,获得了关于一类m阶基数B-样条小波插值的误差表示以及该类插值误差关于步长h的若干结果,重点是计算、基数B-样条小波逼近和误差处理,特别,这里所说的基数B-样条函数是指具有等距单重节点的多项式样条函数.

In this paper,we have studied the estimation for a class of m order potence B - Spline wavelet interpolation error according to m order potence B - spline function and its basic property. We have obtained error estimation for a class of m order potence B - spline interpolation wavelet and some results about a kind of this interpolation error for step h,especially for calculation,approximation for m order potence B - spline wavelet and error processing. The m order potence B - spline we have so called is polynomial spline function which has isometric simple nodal.