| 多点多重Lagrange型插值公式 |
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| 引用本文： | 盛中平,王晓辉,李冰玉.多点多重Lagrange型插值公式[J].东北师大学报(自然科学版),2007,39(2):136-137. |
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| 作者姓名： | 盛中平 王晓辉 李冰玉 |
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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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| 摘 要： | 讨论了一般多点多重Hermite插值问题,给出了完全展开的多点多重Lagrange型插值公式,且就各节点重度相同的情况给出了若干特例.并利用序列对偶及广义差分方程理论等给出了计算Lagrange型插值公式的多种快速算法.
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| 关 键 词： | 显式公式 重节点 Lagange插值 切触插值 |
| 文章编号： | 1000-1832（2007）02-0136-02 |
| 修稿时间： | 2006-10-30 |
Lagrange interpolation formulas with multiplicity knots |
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| SHENG Zhong-ping,WANG Xiao-hui,LI Bing-yu.Lagrange interpolation formulas with multiplicity knots[J].Journal of Northeast Normal University (Natural Science Edition),2007,39(2):136-137. |
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| Authors: | SHENG Zhong-ping WANG Xiao-hui LI Bing-yu |
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| Institution: | School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China |
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| Abstract: | This paper discusses the general Hermite interpolation problems with knots of high multiplicity and derives several Lagrange type interpolation formulas for them.As a special case,the osculating interpolation problems are also considered and the corresponding interpolation formulas are presented.Furthermore,based on dual sequence and general difference equation theories,it discusses some simple and convenient algorithms for computing Lagrange type interpolation formulas. |
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| Keywords: | explicit formula multiplicity knots Lagrange interpolation osculating interpolation |
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