| 三重叠五次样条插值的渐近误差估计 |
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| 引用本文： | 舒适 高协平. 三重叠五次样条插值的渐近误差估计[J]. 湘潭大学自然科学学报, 1993, 15(4): 1-2,16 |
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| 作者姓名： | 舒适 高协平 |
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| 作者单位： | 湘潭大学数学系(舒适),湘潭大学数学系(高协平) |
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| 摘 要： | 讨论了三重叠五次样条插值,证明了在等距剖分下,五次样条及其叠样条均以h~6的精度分别逼近f(x)和f'(x),f"(x),f'"(x).所得格式非常简洁.具有很强的实用性。
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| 关 键 词： | 样条函数 叠样条 误差 渐近展式 |
ON THE TRI-SPLINE-ON-SPLINE INTERPOLATION |
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| Shu Shi Gao Xieping. ON THE TRI-SPLINE-ON-SPLINE INTERPOLATION[J]. Natural Science Journal of Xiangtan University, 1993, 15(4): 1-2,16 |
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| Authors: | Shu Shi Gao Xieping |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper, we construct k spline-on-spline for approxi-mating f_(x)~(h)(k=1,2,3)on a uniform partition of I=[a,b]withknots x_i=ih+a i=0(1)n It is proved that the spline-on-spline S_(x)~(H)can uniformly approximate f_(x)~(h)k=1,2,3 within error bounds O(h~6).The scheme is very beautiful and has strongly practical value. |
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| Keywords: | spline function spline-on-spline error asymptotic expansion |
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