| Πk(R2)空间插值适定结点组的构造 |
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| 引用本文： | 徐艳,陈巍,崔利宏. Πk(R2)空间插值适定结点组的构造[J]. 吉首大学学报(自然科学版), 2010, 31(2): 22-24 |
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| 作者姓名： | 徐艳 陈巍 崔利宏 |
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| 作者单位： | （1.黑龙江八一农垦大学文理学院,黑龙江 大庆163319;2.武警沈阳指挥学院教研部,辽宁 沈阳110113;3.辽宁师范大学数学学院,辽宁 大连116029） |
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| 摘 要： | 主要研究了Πk(R2)空间中的Lagrange插值问题,给出了构造 Πk(R2)空间Lagrange插值适定结点组的方法,所得结论推广了Ward Cheney和Will Light等人在2004年《逼近论教程》中给出的构造Πk(R2)空间Lagrange插值适定结点组的方法,从而得到更一般的结论.
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| 关 键 词： | Πk(R2)空间 适定结点组 多元多项式 Lagrange插值 多元插值 |
Construction of Properly Posed Set of Nodes for Interpolation in theΠk(R2) Space |
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| XU Yan,CHEN Wei,CUI Li-Hong. Construction of Properly Posed Set of Nodes for Interpolation in theΠk(R2) Space[J]. Journal of Jishou University(Natural Science Edition), 2010, 31(2): 22-24 |
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| Authors: | XU Yan CHEN Wei CUI Li-Hong |
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| Affiliation: | (1.College of Art and Science,HLJ August First Land Reclamation University,Daqing 163319,Heilongjiang China;2.Shenyang Command College of the Chinese Armed Police Forces,Shenyang 110113,China;3.School of Mathematics,Liaoning Normal University,Dalian 116029,Liaoning China) |
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| Abstract: | The Lagrange interpolation of Πk(R2) space is studied.The method of constructing the properly posed set of nodes for Lagrange interpolation in the Πk(R2)space is given,and this generalizes the main method of constructing the properly posed set of nodes for Lagrange interpolation in the Πk(R2) space which was acquired by Ward Cheney and Will Light in “The tutorial of approximation theory”.Thus a general conclusion is obtained. |
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| Keywords: | &Pi k(R2) ')" href=" #" >&Pi k(R2) space properly posed set of nodes multivariate polynomial Lagrange interpolation multivariate interpolation |
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