Trigonometric Widths and Best $N$-Term Approximations of the Generalized Periodic Besov Classes $B_{p,\theta}^\Omega$
Received:February 04, 2009  Revised:May 18, 2009
Key Word: trigonometric width   best $n$-term approximation   generalized Besov classes.  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.10671019) and Scientific Research Foundation of Hangzhou Dianzi University (Grant No.KYS091507089).
Author NameAffiliation
Li Qin DUAN Institute of Mathematics, Hangzhou Dianzi University, Zhejiang 310018, P. R. China 
Gen Sun FANG School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, P. R. China 
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      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 $B_{p,\theta}^\Omega$ in the space $L_q$ for some values of parameters $p$, $q$.
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