| 引用本文: | 方逵,张新建.单调光滑函数的保形插值算法.[J].国防科技大学学报,1992,14(4):60-65.[点击复制] |
| Fang Kui,Zhang Xinjian.The Interpolation Algorithm of Shape Preserving for Monotonic Functions[J].Journal of National University of Defense Technology,1992,14(4):60-65[点击复制] |
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| 单调光滑函数的保形插值算法 |
| 方逵, 张新建 |
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(系统工程与应用数学系)
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| 摘要: |
| 对于给定的单调数组，本文描述了一种保形二次插值样条函数。插值函数结构简单、计算方便。最后估计了插值函数的误差。 |
| 关键词: 插值样条，单调性，保凸性 |
| DOI： |
| 投稿日期：1991-07-02 |
| 基金项目: |
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| The Interpolation Algorithm of Shape Preserving for Monotonic Functions |
| Fang Kui, Zhang Xinjian |
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(Department of System Engineering and Applied Mathematics)
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| Abstract: |
| For a given sequence of monotonic data，a shape preserving quadric interpolation spline function that is simple to construct and easy to calculate is described in this paper. The error estimates for the interpolation spline functions are given and the approximate precision is O(h2). |
| Keywords: interpolation spline,monotonity,property of convex preserving |
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