| 球面上径向基函数最小范数插值逼近的误差估计 |
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| 引用本文： | 陈志祥.球面上径向基函数最小范数插值逼近的误差估计[J].应用数学学报,2007,30(1):159-167. |
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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,绍兴,312000 |
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| 基金项目： | 国家自然科学基金;浙江省自然科学基金 |
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| 摘 要： | 研究了球面径向基插值对球面函数的逼近问题,给出了一致逼近的上界估计式．文中结果说明,球面径向基插值的逼近阶会随函数光滑性的提高而增加．
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| 关 键 词： | 内积空间 再生核 最小范数插值 误差估计 径向基函数 |
| 修稿时间： | 2005-11-232006-06-26 |
Error Estimates of Minimal Norm Interpolant Approximation by the Spherical Radial Basis Functions |
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| CHEN ZHIXIANG.Error Estimates of Minimal Norm Interpolant Approximation by the Spherical Radial Basis Functions[J].Acta Mathematicae Applicatae Sinica,2007,30(1):159-167. |
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| Authors: | CHEN ZHIXIANG |
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| Institution: | Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing 312000 |
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| Abstract: | The approximation of spherical functions by spherical radial basis interpolation is investigated. The order for such kind of approximation is estimated. The results show that the order of approximation grows with the increase of the smoothness of the function. |
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| Keywords: | inner product space reproducing kernel minimal norm interpolation error estimates radial basis function |
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