The Average Widths and Non-linear Widths of the Classes of Multivariate Functions with Bounded Moduli of Smoothness

作     者：Yong-ping Liu, Gui-qiao XuDepartment of Mathematics, Beijing Normal University, Beijing 100875, China Department of Mathematics, Tianjin Normal Univesity, Tianjin 300074. China 

作者机构：Department of Mathematics Beijing Normal University Beijing China Department of Mathematics Tianjin Normal Univesity Tianjin China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2002年第18卷第4期

页      面：663-674页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China (No.10071007) partly by Scientific Research Foundation for Returned Overseas Chineses Scholars of the State Education Ministry of China partly by Scientific Research Foundation for Key Teachers of th 

主　　题：Multivariate function classes average width non-linear width 

摘      要：The classes of the multivariate functions with bounded moduli on Rd and Td are given and their average σ-widths and non-linear n-widths are discussed. The weak asymptotic behaviors are established for the corresponding quantities.