| 在第一边界条件下的Hermite三点插指 |
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| 引用本文： | 颜宁生.在第一边界条件下的Hermite三点插指[J].北京联合大学学报(自然科学版),2006,20(2):64-67. |
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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5个派生出来的多项式插值问题,在第1边界条件下,证明了Hermite三点插指公式的存在唯一性,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 第1边界条件 Hermite插值基函数 |
| 文章编号： | 1005-0310（2006）02-0064-04 |
| 收稿时间： | 2006-01-12 |
| 修稿时间： | 2006年1月12日 |
Hermite Three Point Interpolation Under the First Boundary Condition |
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| YAN Ning-sheng.Hermite Three Point Interpolation Under the First Boundary Condition[J].Journal of Beijing Union University,2006,20(2):64-67. |
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| Authors: | YAN Ning-sheng |
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| Institution: | Basic Courses Department of Beijing Institute of Clothing Technology, Beijing 100029, China |
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| Abstract: | A kind of non-polynomial interpolation problem can be converted into five derivational polynomial interpolation solutions.Both the existence and uniqueness of the Hermite three point interpolation formula in power exponent form has been proved under the first boundary condition,from which two methods are derived.One example has been given finally. |
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| Keywords: | Hermite interpolation formula in power exponent form derivation Hermite polynomial interpolation formula first boundary condition Hermite interpolation primary function |
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