机构地区: 华中农业大学理学院
出 处: 《大学数学》 2009年第4期73-77,共5页
摘 要: 已知结点处的函数值和一阶导数值,给出了构造一类二次分形插值函数的方法.不同于仿射分形插值函数,得到的插值函数具有可微性,并讨论分形插值函数的微积分运算,最后给出一个构造例子. This paper proposes a construction method of quadratic fractal interpolation functions(FIFs) based on its function values and the first derivative values at partition points.Differing from affine fractal interpolation,the FIFs obtained by the proposed method in this research are differentiable.This paper also discusses the calculus on the FIFs,and provides a constructing example in the end.