| 非等距五次(0,3)缺插值样条函数余项的渐近展开 |
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| 引用本文： | 毛泽春.非等距五次(0,3)缺插值样条函数余项的渐近展开[J].西南师范大学学报(自然科学版),1989(4). |
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| 作者姓名： | 毛泽春 |
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| 作者单位： | 湖北大学 |
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| 摘 要： | 本文采用传递插值方法对五次(0,3)缺插值样条函数的余项进行了渐近展开,这种方法对非等距情况下的渐近展开具有普遍意义。
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| 关 键 词： | 样条函数 余项 渐近展开 插值 |
THE ASYMPTOTIC EXPANSION OF REMAINDER FOR FIVE-DEGREE (0,3) LACUNARY INTERPOLATION SPLINE FUNCTIONS ON NON-ISOMETRIC CUT |
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| Mao Zechun.THE ASYMPTOTIC EXPANSION OF REMAINDER FOR FIVE-DEGREE (0,3) LACUNARY INTERPOLATION SPLINE FUNCTIONS ON NON-ISOMETRIC CUT[J].Journal of Southwest China Normal University(Natural Science),1989(4). |
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| Authors: | Mao Zechun |
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| Institution: | Hubei University |
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| Abstract: | In this paper, it has been obtained that the asymptotic expansion for f've-degree (0,3) lacunary interpolation splines on non-isometric by introduction of the transferring interpolation and the Peano Theorem. This method to the asymptotic expansion of the non-isometric is of universal significance. |
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| Keywords: | spline function remainder term interpolation asymptotic expansion |
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