Relative n-widths of periodic convolution classes with NCVD-kernel and B-kernel

作     者：YANG Wei & LIU YongPing School of Mathematical Sciences,Beijing Normal University Laboratory of Mathematics and Complex Systems,Ministry of Education,Beijing 100875,China 

作者机构：School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2010年第53卷第1期

页      面：165-172页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China (Grant No.10771016) the "985" Programme of Beijing Normal University 

主　　题：relative n-width periodic convolution class NCVD-kernel B-kernel 

摘      要：In this paper,we consider the relative n-widths of two kinds of periodic convolution classes,Kp(K) and Bp(G),whose convolution kernels are NCVD-kernel K and B-kernel G. The asymptotic estimations of Kn(Kp(K),Kp(K))q and Kn(Bp(G),Bp(G))q are obtained for p=1 and ∞,1≤ q≤∞.