| 一类Hermite分形插值函数的构造算法及其运算性质 |
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| 引用本文： | 邓小炎,陈晓坤,李治.一类Hermite分形插值函数的构造算法及其运算性质[J].大学数学,2009,25(4). |
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| 作者姓名： | 邓小炎 陈晓坤 李治 |
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| 作者单位： | 华中农业大学,理学院,湖北,武汉,430070 |
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| 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.
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| 关 键 词： | 分形 Hermite插值 微积分运算 |
Construction of a Hermite Fractal Interpolation Function and It's Operation Properties |
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| DENG Xiao-yan,CHEN Xiao-kun,LI Zhi.Construction of a Hermite Fractal Interpolation Function and It's Operation Properties[J].College Mathematics,2009,25(4). |
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| Authors: | DENG Xiao-yan CHEN Xiao-kun LI Zhi |
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| Abstract: | 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. |
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| Keywords: | fractal Hermite interpolation calculus |
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