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导函数的修正三次Hermit样条插值逼近
引用本文:杨裕生,盛炎平,雷继刚. 导函数的修正三次Hermit样条插值逼近[J]. 大学数学, 1994, 0(3)
作者姓名:杨裕生  盛炎平  雷继刚
作者单位:北京机械工业学院
摘    要:在本文中,我们建立了修正三次Hermit样条插值函数,并且证明了修正三次Her-mit样条函数能以h4的精度逼近充分光滑函数的各阶导数。

关 键 词:修正三次Hermit样条,逼近,导函数

A CORRECT HERMIT''''S SPLINE FUNCTION OF INTERPOLATION APPROXIMATE FUNCTION DERIVATIVES
Yang Yu-sheng,Sheng Yan-ping,Lei Ji-gang. A CORRECT HERMIT''''S SPLINE FUNCTION OF INTERPOLATION APPROXIMATE FUNCTION DERIVATIVES[J]. College Mathematics, 1994, 0(3)
Authors:Yang Yu-sheng  Sheng Yan-ping  Lei Ji-gang
Affiliation:Yang Yu-sheng;Sheng Yan-ping;Lei Ji-gang
Abstract:In this paper,We got a correct Hermit's spline function of interpolation,It is proved that for smooth function,the correct Hermit's spline function of interpolation can approximate every lower order devivatives within error bounds O(h4)
Keywords:Correct Hermit's spline   Approvimate   Function derivatives.
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