| R~s空间中Lagrange插值问题研究 |
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| 作者单位： | 大连交通大学数理系 辽宁大连116028(李志斌，李伟)，大连交通大学机械工程学院 辽宁大连116028(万朝燕) |
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| 摘 要： | 研究空间Rs中多项式空间中的Lagrange插值问题.给出了R1和R2上Lagrange插值多项式的构造,同时,给出了R2上插值问题的几个例子.另外,给出了矩形网点上的Lagrange插值多项式和三角形网点上的Lagrange插值多项式.讨论了Rs空间中的Lagrange插值多项式及其余项.
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| 关 键 词： | Lagrange插值 空间Rs 余项 |
Study of Lagrange Interpolation Problem in R~s |
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| Authors: | LI Zhi-bin LI Wei WAN Chao-yan |
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| Institution: | LI Zhi-bin1,LI Wei1,WAN Chao-yan2 |
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| Abstract: | The problem of Lagrange interpolation of polynomial space in space Rs is studied,and the construction of Lagrange interpolation polynomial in space R1 and space R2 is proposed.With several examples of interpolation problem in space R2.In addition,the Lagrange interpolation polynomial on rectangular grid points and the Lagrange interpolation polynomial on trigonometric grid points are presented.The Lagrange interpolation polynomial and its remainder term in space Rs are discussed. |
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| Keywords: | Lagrange interpolation space Rs remainder term |
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