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 

机构地区：[1]Institute of Mathematics, Hangzhou Dianzi University, Zhejiang 310018, P. R. China [2]School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2011年第1期129-141,共13页数学研究与评论（英文版）

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

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.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.

关 键 词：trigonometric width best n-term approximation generalized Besov classes. 

分 类 号：O174.41[理学—数学]