再生核空间H[O,a]“非汉字符号”H[0,b]的最佳插值逼近算子  

THE BEST OPERATOR OF INTERPOLATION IN THE REPRODUCING KERNEL SPACE

作　　者：马晓剑[1] 邓中兴[1] 邓彩霞 

机构地区：[1]哈尔滨理工大学 [2]哈尔滨工程大学

出　　处：《哈尔滨师范大学自然科学学报》2002年第5期4-9,共6页Natural Science Journal of Harbin Normal University

基　　金：黑龙江省自然科学基金项目(A01-12);黑龙江省教育厅科学技术资助项目(10511098)

摘　　要：本文构造了张量积空间H[0,a](?)H[0,6],并证明其是再生核空间.在这一空间讨论了二元最佳插值逼近算子,给出了其显式表达式,并证明它对任意加密的矩形网格节点系是一致收敛的,且误差单调下降.A tensor product space H[0,a](?)H[0,6] is constructed, which has reproducing kernel. The authors show the explicit representation of the best interpolation operator for the bivariate real functions, which is not in polynomial form. Furthermore, prove that the representation is convergent uniformly and the error of interpolation decreases monotonically when rectangular grid knots are thickened infinitely.

关 键 词：再生核空间 最佳插值逼近算子 张量积空间 显式表达式 数值逼近 矩形网格节点系 

分 类 号：O174.41[理学—数学]