| 样条共轭插值与L_p模误差估计 |
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| 引用本文： | 黄达人,叶懋冬.样条共轭插值与L_p模误差估计[J].计算数学,1985,7(4):349-355. |
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| 作者姓名： | 黄达人 叶懋冬 |
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| 作者单位： | 浙江大学
(黄达人)，浙江大学(叶懋冬) |
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| 摘 要： | 1—5]讨论了各种类型插值样条的L_∞模最优误差估计。本文利用共轭插值样条,给出一些插值样条类的L_1模最优误差界,然后用插值空间理论导出L_p模估计的上界。 一、样条共轭插值 设n≥1并给定0,1]上的两个分划:
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ADJOINT INTERPOLATION SPLINES AND L_p-NORM ERROR BOUNDS |
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| Institution: | Huang Da-ren;Ye Mao-dong Zhejiang University |
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| Abstract: | The optimal error bounds of various interpolation splines have already been discus-sed. In this paper,by means of adjoint interpolation splines, the L_1-norm optimal errorbounds of some classes of interpolation splines are obtained and the L_p-norm uppererror bounds are deduced. |
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