一类Hermite插值在一重积分Wiener空间下的平均误差  

Average errors of a kind of Hermite interpolation on the 1-fold integrated Wiener space

作　　者：张妍 赵华杰[1] 许贵桥[1] ZHANG Yan;ZHAO Huajie;XU Guiqiao(College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China)

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《天津师范大学学报（自然科学版）》2018年第4期9-12,共4页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11471043)

摘　　要：在加权L_2-范数下,讨论基于扩充的第二类Chebyshev多项式零点的Hermite插值多项式列在一重积分Wiener空间下的平均误差,得到了相应量的弱渐近阶,所得结果表明结点数量增加有时反而使逼近效果更差.In the L_2-norm,the average errors of the Hermite interpolation sequence based on the extended Chebyshev nodes of the second kind on the 1-fold integrated Wiener space are discussed,and the weakly asymptotic order is determined.The results show that increasing the numbers of nodes sometimes makes the approximation effect worse.

关 键 词：平均误差 第二类CHEBYSHEV多项式 HERMITE插值 L2-范数 一重积分Wiener空间 

分 类 号：O174.41[理学—数学]