%0 Journal Article
%T THE OPTIMAL NUMERICAL PRIMITIVE FUNCTION IN THE SPACE W_2~1<br>W_2~1空间中的最佳数值原函数
%A 邓中兴
%A 崔明根
%A 吴勃英
%J 计算数学
%D 1989
%I 
%X By means of the regenerate kernel and the Schmidt orthorgonalization, a method for find-ing the numerical primitive function of a given function in the space W_2~1a, b] is constructed.The uniform convergence of the approximateprimitive function to the exact one as the nodesbecome dense in a, b] is also proved. The presented method is particularly applicable to largesystems of nodes. For small and medium scale systems of nodes, the corresponding results canstill be satisfactory because of a certain optimality of the numerical primitive function.
%K W2^1空间
%K 数值原函数
%K 再生核函数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=11470BF30B92F003D16608EB131496A8&yid=1833A6AA51F779C1&vid=708DD6B15D2464E8&iid=0B39A22176CE99FB&sid=1D67BE204FBF4800&eid=4966445AEEBA9556&journal_id=0254-7791&journal_name=计算数学&referenced_num=8&reference_num=2