Quasi-Hermite插值在一重积分Wiener空间的平均误差  

The Average Errors for Quasi-Hermite Interpolation on the 1-Fold Integrated Wiener Space

作　　者：曹莉 马海腾 杨巧玲[3] 许贵桥 CAO Li;MA Haiteng;YANG Qiaoling;XU Guiqiao(School of Computer and Information,Inner Mongolia Medical University,Hohhot 010110,China;Coordinated Innovation Center for Computable Modelling in Management Science,Tianjin University of Finance and Economics,Tianjin 300222,China;Department of Mathematics and Physics,Tianjin Tianshi College,Tianjin 301700,China;School of Mathematics,Tianjin Normal University,Tianjin 300387,China)

机构地区：[1]内蒙古医科大学计算机信息学院,呼和浩特010110 [2]天津财经大学管理可计算建模协同创新中心,天津300222 [3]天津天狮学院数理部,天津301700 [4]天津师范大学数学科学学院,天津300387

出　　处：《内蒙古大学学报（自然科学版）》2024年第5期449-458,共10页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金项目(11471043);内蒙古医科大学致远人才项目(ZY20241206)。

摘　　要：在一重积分Wiener空间下确定了一种Quasi-Hermite插值多项式算子列在加权L_(p)-范数逼近意义下的L_(p)-平均误差的弱渐近阶。结果显示从信息基复杂性的角度来看,如果选取Hermite数据作为可允许的信息泛函,那么这种多项式插值算子列的p-平均误差弱等价于相应的最小非自适应信息p-平均半径。For the approximation in weighted L_(p)-norm,the weak asymptotic order of the L_(p)-average errors is obtained,based on a kind of Quasi-Hermite interpolation operator sequence on the 1-fold integrated Wiener space.The result shows that in the sense of information-based complexity,if the permissible information functionals are Hermite data,then the p-average errors of the sequence and the corresponding minima p-average radius of nonadaptive information are equivalent.

关 键 词：Quasi-Hermite插值 一重积分Wiener空间 平均误差 L_(p)-范数 

分 类 号：O174.41[理学—数学]