| 球面径向基函数插值逼近的误差估计 |
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| 引用本文： | 陈志祥.球面径向基函数插值逼近的误差估计[J].绍兴文理学院学报,2006,26(3):7-12. |
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| 作者姓名： | 陈志祥 |
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| 作者单位： | 绍兴文理学院数学系,浙江绍兴312000 |
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| 摘 要： | 研究了球面上由不同光滑度的核所生成且嵌套的两个再生核Hilbert空间之间的插值逼近问题．证明了一个空间的函数可用光滑性更好的子空间中的函数进行插值逼近，并给出了插值误差的上界估计．
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| 关 键 词： | 球调和多项式 插值 径向基函数 基本系统 |
| 文章编号： | 1008-293X（2006）09-0007-06 |
| 收稿时间： | 2006-08-11 |
The Error Estimates of Interpolant Approximation by Radial Basis Functions on the Unit Sphere |
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| Chen Zhixiang.The Error Estimates of Interpolant Approximation by Radial Basis Functions on the Unit Sphere[J].Journal of Shaoxing College of Arts and Sciences,2006,26(3):7-12. |
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| Authors: | Chen Zhixiang |
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| Abstract: | The spherical interpolant approximation between two nested reproducingkernel Hilbert spaces generated from different smooth kernel is investigated, his shown that the functions of a space can be approximated by the functions of the subspace with better smoothness, and the upper bound of interpolant error isgiven. |
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| Keywords: | spherical harmonic polynomial interpolation radial basis function fundamental system |
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