| 中间插指点的Hermite三点插指公式 |
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| 引用本文： | 颜宁生.中间插指点的Hermite三点插指公式[J].纺织高校基础科学学报,2006,19(2):136-139. |
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| 作者姓名： | 颜宁生 |
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| 作者单位： | 北京服装学院,基础课部,北京,100029 |
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| 摘 要： | 利用Hermite插值基函数,将求解非多项式插值问题转换为求解4个派生出来的多项式插值问题,在中间插值点上具有一阶导数条件下,证明了Hermite三点插指公式的存在惟一性,并用两种方法构造出Hermite三点插指公式,最后给出了一个算例.
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| 关 键 词： | Hermite插指公式 派生Hermite多项式插值公式 插指条件 Hermite插值基函数 |
| 文章编号： | 1006-8341（2006）02-0136-04 |
| 收稿时间： | 2006-01-11 |
| 修稿时间： | 2006年1月11日 |
Hermite three point interpolation formula under the intermediate node |
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| YAN Ning-sheng.Hermite three point interpolation formula under the intermediate node[J].Basic Sciences Journal of Textile Universities,2006,19(2):136-139. |
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| Authors: | YAN Ning-sheng |
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| Affiliation: | Department of Fundamental Courses,Beijing Institute of Clothing Technology, Beijing 100029, China |
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| Abstract: | Solving a kind of non-polynomial interpolation problem can be transferred into solve!4 derivation polynomial interpolation problems with prime facterization in this paper.Both the existence and uniqueness of the Hermite three point interpolation formula in power exponent form has been proved under one first order derivative of the intermediate node.It has been structured in two ways.One example has been given finally. |
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| Keywords: | Hermite interpolation formula in power exponent form derivation Hermite polynomial interpolation formula interpolation condition in power exponent form Hermite interpolation primary function |
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