Trigonometric Widths and Best N-Term Approximations of the Generalized Periodic Besov Classes B_(p,θ)~Ω

作     者：Li Qin DUAN Gen Sun FANG 

作者机构：Institute of Mathematics Hangzhou Dianzi University Zhejiang 310018 P. R. China School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875 P. R. China 

出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)

年 卷 期：2011年第31卷第1期

页      面：129-141页

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

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10671019) Scientific Research Foundation of Hangzhou Dianzi University (Grant No.KYS091507089) 

主　　题：trigonometric width best n-term approximation generalized Besov classes. 

摘      要：In this paper, we determine the estimates exact in order for the trigonometric widths and the best n-term trigonometric approximations of the generalized classes of periodic functions B^Ωpθ in the space Lq for some values of parameters p, q.