| W_2~m空间中样条插值算子与最佳逼近算子的一致性 |
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| 引用本文： | 张新建,黄建华.W_2~m空间中样条插值算子与最佳逼近算子的一致性[J].计算数学,2001,23(4):385-392. |
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| 作者姓名： | 张新建 黄建华 |
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| 作者单位： | 张新建（国防科技大学应用数学系,长沙,410073）;黄建华（国防科技大学应用数学系,长沙,410073） |
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| 基金项目： | 国家自然科学基金资助课题. |
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| 摘 要： |
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| 关 键 词： | 数值分析 再生核 样条插值算子 最佳插值逼近算子 线性 微分算子样条 Green函数 |
| 修稿时间： | 1999年5月6日 |
THE UNIFORMITY OF SPLINE INTERPOLATING OPERATORS AND THE BEST OPERATORS OF INTERPOLATING APPROXIMATION IN W_2~m SPACES |
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| Institution: | Zhang Xinjian Huang Jianhua (Dept. of Math., national University of Defense and Technology. Changsha, 410073) |
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| Abstract: | This paper discusses generalized interpolating splines which determined by n order linear differential operators, and the best operators of interpolating approximation in W_2~m spaces, The explicit constructive method for the reproducing kernel in W_2~m space is presented, and proves the uniformity of spline interpolating operators and the best operators of interpolating approximation W_2~m space by reproducing kernel. The explicit expression of approximation error on a bounded ball in W_2~m space, and error estimation of spline operator of approximation are obtained. |
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