| 一般有重差商的显式公式 |
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| 引用本文： | 盛中平,王晓辉.一般有重差商的显式公式[J].东北师大学报(自然科学版),2006,38(4):143-144. |
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| 作者姓名： | 盛中平 王晓辉 |
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| 作者单位： | 东北师范大学数学与统计学院,吉林,长春,130024 |
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| 基金项目： | 国家自然科学基金资助项目(10571102) |
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| 摘 要： | 讨论了一般有重差商问题,提出了脱重逼近方法.引进了自由因子序列与反自由因子序列,给出了一般有重差商的显式表达式,揭示了有重差商的内在结构,并给出了计算自由因子和有重差商的多种形式的快速算法.
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| 关 键 词： | 有重差商 对偶序列 差商 重结点 |
| 文章编号： | 1000-1832（2006）04-0143-02 |
| 收稿时间： | 2005-05-29 |
| 修稿时间： | 2005年5月29日 |
The explicit formula of general divided difference with multiplicity knots |
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| SHENG Zhong-ping,WANG Xiao-hui.The explicit formula of general divided difference with multiplicity knots[J].Journal of Northeast Normal University (Natural Science Edition),2006,38(4):143-144. |
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| Authors: | SHENG Zhong-ping WANG Xiao-hui |
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| Institution: | School of Mathematics and Statisties, Northeast Normal University, Changchun 130024 |
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| Abstract: | This paper discusses the general divided difference with multiplicity knots,puts forward an asymptotic method by dropping multiplicity.It introduces the free and anti-free factor sequence,obtains an explicit formula for the divided difference with multiplicity knots,reveals the structure and provides some algorithms. |
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| Keywords: | divided difference with multiplicity knots dual sequence divided difference multiplicity knots |
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