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非等距五次(0,3)缺插值样条函数余项的渐近展开
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, 0(4)
作者姓名:毛泽春
作者单位:湖北大学
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。

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
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 edition), 1989, 0(4)
Authors:Mao Zechun
Affiliation:Hubei University
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.
Keywords:spline function  remainder term  interpolation  asymptotic expansion
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