%0 Journal Article
%T Average widths and optimal recovery of multivariate Besov classes in L_p(R~d)<br>
%A Yanjie Jiang
%A Yongping Liu
%A <br>
%J 科学通报(英文版)
%D 1998
%I 
%X Some weak asymptotic results for average δ -K width and average δ -L width of the isotropic Besov classes Sr p6B(R d), Sr p6b(Rd), and the aniwtropic Besov classes Sr p0B(Rd),. Sr p6b(Rd), inL p(R d) (l p < ∞) are obtained, and the corresponding weak asymptotic optimal subspaces are identified. Furthermore, the weak asymptotic behavior of optimal recovery is established for the isotropic Besov classes Sr p0B(R d), inL p (Rd) (1≤p≤∞).
%K average dimension
%K average width
%K optimal recovery
%K Besov class<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=96E6E851B5104576C2DD9FC1FBCB69EF&jid=DD6615BC9D2CFCE0B6F945E8D5314523&aid=70E810846E34191673301A8D95FC896F&yid=8CAA3A429E3EA654&vid=BE33CC7147FEFCA4&iid=5D311CA918CA9A03&sid=50B6AC44200581A5&eid=50B6AC44200581A5&journal_id=1001-6538&journal_name=科学通报(英文版)&referenced_num=0&reference_num=5