摘要
本文讨论一种满足Hermite 插值条件的保形样条函数,文中构造了一个保单调的样条函数q(x),且q(x)满足下列条件:1)q(x_i)=y_i,i=0,1,2,…,n,n+1;2)q'(x_i)=y'_ii=0,1,2,…,n,n+1.该方法对凸数组及相应的导数也适合。
In this paper,we described a shape preserving spline function withHermite interpolation condition.A spline function of monotone perservingq(x)is constructed,and q(x)satisfies1)q(x_i)=y_i,i=0,1,…,n,n+1,2)q′(x_i)=y′_i,i=0,1,…,n,n+1.Similar spline functions have also been studied for convex sequences{y_i}_(i=0)^(n+1).
出处
《国防科技大学学报》
EI
CAS
CSCD
北大核心
1990年第3期39-44,共6页
Journal of National University of Defense Technology
关键词
插值
样条函数
凸数组
保形样条
interpolation
spline function
monotone increasing array
convex array
shape preserving spline interpolation
