| 用低次叠样条函数逼近导函数 |
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| 引用本文： | 高坚.用低次叠样条函数逼近导函数[J].高校应用数学学报(A辑),1992,7(2):240-249. |
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| 作者姓名： | 高坚 |
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| 作者单位： | 烟台大学数学系 山东 |
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| 摘 要： | 本文讨论了用低次样条函数的叠样条来逼近导函数的问题.给出了叠样条的构造、误差分析及余项的逐项渐进展开式.
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| 关 键 词： | 叠样条 样条函数 导函数 逼近 |
ON APPROXIMATING THE DERIVATIVE OF A FUNCTION BY LOW ORDER SPLINE-ON-SPLINE |
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| Gao Jian.ON APPROXIMATING THE DERIVATIVE OF A FUNCTION BY LOW ORDER SPLINE-ON-SPLINE[J].Applied Mathematics A Journal of Chinese Universities,1992,7(2):240-249. |
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| Authors: | Gao Jian |
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| Affiliation: | YanTai University |
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| Abstract: | In this paper, we discuss the method of approximating the derivative of a function by a quadratic spline-on-spline. We obtain the asymptotic expansion of it, and give the asymptotic expansion of the cubic spline-on-spline based on the paper (3). |
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| Keywords: | Spline-on-Spline Asymptotic Expansion |
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