| Hermite四点插指公式 |
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| 引用本文： | 颜宇生.Hermite四点插指公式[J].应用数学与计算数学学报,2008,22(1). |
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| 作者姓名： | 颜宇生 |
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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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| 基金项目： | 北京市属市管高校人才强教计划 |
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| 摘 要： | 文章利用Hermite插值基函数,将求解Hermite四点插指问题转换为求解8个派生出来的多项式插值问题,证明了Hermite四点插指公式的存在唯一性,并用两种方法构造出Hermite四点插指公式,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 Hermite插指基函数 Hermite 公式 Interpolation Formula Power Exponent Point 算例 方法构造 存在唯一性 插值问题 多项式 问题转换 求解 插值基函数 利用 |
Hermite Four Point Interpolation Formula in Power Exponent Form |
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| Yan Ningsheng.Hermite Four Point Interpolation Formula in Power Exponent Form[J].Communication on Applied Mathematics and Computation,2008,22(1). |
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| Authors: | Yan Ningsheng |
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| Affiliation: | Yan Ningsheng~1 Department of Fundamental Courses,Beijing Institute of Clothing Technology,Beijing 10029,China |
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| Abstract: | Solving four point interpolation problem can be transferred into solve 8 derivation polynomial interpolation problems with prime facterization in this paper.Both the existence and uniqueness of the Hermite four point interpolation formula in power exponent form has been proved under the boundary condition.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 Hermite interpolation primary function |
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