广义二次保凸插值样条的构造

On the Convexity-Preserving Spline Interpolation

讨论二次插值样条的保凸问题，即：当型值点为数较多，且点点通过型值点的二次保凸插值样条不存在时，如何引入广义二次保凸插值样条，此种样条属于Ｃ＂类曲线。

In this paper we give the definition of the convexity-preserving interpolation of a given function y(x).A necessary and sufficient condition is provided for the quadratic spline with the convexity-preserving interpolation and a method of building convexity-preserving interpolation is presented.