| 紧支撑样条小波插值及其应用 |
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| 引用本文： | 高忠社,何万生,谢保利.紧支撑样条小波插值及其应用[J].纯粹数学与应用数学,2013(6):591-600. |
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| 作者姓名： | 高忠社 何万生 谢保利 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃天水741000 |
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| 基金项目： | 甘肃省教育厅科学研究基金（1108B-03）. |
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| 摘 要： | 基于紧支撑样条小波函数插值与定积分的思想，给出了由紧支撑样条小波插值函数构造数值积分公式的方法．并将该方法应用于二次、三次、四次和五次紧支撑样条小波函数，得到了相应的数值积分公式．最后，通过数值例子验证，发现该方法得到的数值积分公式是准确的，且具有较高精度．
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| 关 键 词： | 紧支撑样条小波函数 插值函数 数值积分 |
The compactly supported spline wavelet interpolation and its application |
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| Gao Zhongshe,He Wansheng,Xie Baoli.The compactly supported spline wavelet interpolation and its application[J].Pure and Applied Mathematics,2013(6):591-600. |
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| Authors: | Gao Zhongshe He Wansheng Xie Baoli |
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| Institution: | (College of Mathematics and Statistics, Tianshui Normal University, Tianshui 741000, China) |
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| Abstract: | Based on the supported spline wavelet interpolation and definite integral idea, the method of con- structing the supported spliue wavelets numerical integration formula is given. And with this method, the numerical integration formulas are got for the quadratic, cubic, quartic and quintic supported spline wavelets Finally, it is proved through an example that the obtained formulas are correct and has a higher accuracy |
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| Keywords: | compactly supported spline wavelet interpolation function numerical integral |
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