| 一类基于算术均差商的有理三次插值样条的逼近性质 |
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| 引用本文： | 李世龙,张云峰.一类基于算术均差商的有理三次插值样条的逼近性质[J].山东大学学报(理学版),2007,42(10):106-110. |
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| 作者姓名： | 李世龙 张云峰 |
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| 作者单位： | 山东经济学院,统计与数学学院,山东,济南,250014;山东经济学院,计算机科学与技术学院,山东,济南,250014 |
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| 摘 要： | 介绍了算术均插商的概念，在此基础上构造了一类基于算数均差商分母为线性的有理三次插值样条.利用Peano-kernel定理讨论了此类插值样条的函数值与导数的逼近性质，并且给出了数据分析.
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| 关 键 词： | 算数均差商 Peano-kernel定理 有理插值 |
| 文章编号： | 1671-9352（2007）10-0106-05 |
| 修稿时间： | 2007-03-26 |
Error analysis of the rational interpolation based on arithmetic average difference quotient |
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| LI Shi-long,ZHANG Yun-feng.Error analysis of the rational interpolation based on arithmetic average difference quotient[J].Journal of Shandong University,2007,42(10):106-110. |
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| Authors: | LI Shi-long ZHANG Yun-feng |
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| Institution: | 1． School of Statistics and Mathematics, Shandong Economic University, Jinan 250014;2． School of Computer Science & Engineering, Shandong Economic University, Jinan 250014, Shandong |
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| Abstract: | The definition of the arithmetic average difference quotient was introduced. A kind of the rational cubic spline interpolation with a linear denominator based on the arithmetic average difference quotient was also given. A new method based on the Peano-kemel theory was proposed. The approximation properties of the function value and the derivative of the rational interpolation were studied, and data analysis was given. |
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| Keywords: | arithmetic average difference quotient Peano-kemel theory rational interpolation |
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