| 一类基于l1模的最佳二次样条插值 |
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| 引用本文： | 龚大平,徐树荣.一类基于l1模的最佳二次样条插值[J].应用数学,1993,6(2):168-171. |
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| 作者姓名： | 龚大平 徐树荣 |
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| 作者单位： | 中山大学，中山大学 广州 510275，广州 510275 |
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| 摘 要： | 本文讨论了二次样条插值的定解条件,在l_1模意义下给出了一类最佳二次样条插值的概念,以及寻找最佳二次样条插值的定解条件的方法.最后讨论了误差估计问题,并给出了实际算例.
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| 关 键 词： | 样条函数 插值多项式 样条插值 |
A Class of Best Quadratic Spline Interpolation Based on l_1 Norm |
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| Gong Daping Xu Shurong.A Class of Best Quadratic Spline Interpolation Based on l_1 Norm[J].Mathematica Applicata,1993,6(2):168-171. |
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| Authors: | Gong Daping Xu Shurong |
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| Abstract: | In this paper is discussed the condition for determining solution to the quadratic spline interpolation problem by l_1 norm, and then are presented the concept of best quadratic spline interpolation and a simple method to determine such a best solution. Finally, the error estimates and some exciting numerical example are given. |
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| Keywords: | Spline function Interpolation polynomial Optimum value |
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