再生核空间W2^1中的微分算子样条插值  

The spline interpolation of differential operator in reproducing kernel space W_2~1

作　　者：邓彩霞[1] 濮安山[2] 邓中兴[1] 

机构地区：[1]哈尔滨理工大学数学系,黑龙江哈尔滨150080 [2]哈尔滨师范大学数学系,黑龙江哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2001年第4期10-13,共4页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(19971022)

摘　　要：在W2^1中借助于再生核函数给出了微分算子样条插值函数的显式表达式，证明了该样条插值算子与最佳插值逼近算子的一致性，而且插值误差依范数单调下降，由于该样条插值可分段表示，所以便于数值计算。The authors present a explicit expression of differential operator spline interpolation func- tion from reproducing kernel in W_2~1, and show the uniformity between that the spline interpolation operator and operator of the best interpolating approximation, and interpolation error decreases monotonically in the sence of the norm. Because the spline interpolation can be express by section, so it can be convenient for numeric calcuation.

关 键 词：再生核空间 微分算子样条 最佳逼近 再生核函数 最佳插值逼近算子 样条插值 

分 类 号：O174.42[理学—数学]