%0 Journal Article
%T Functional Network Construction Method and Approximation Theory Based on Polynomial Basis Functions<br>基于多项式基函数的泛函网络构造方法与逼近理论
%A ZHOU Yong-quan LIU Xiao-ji ZHANG Ming
%A <br>周永权
%A 刘晓冀
%A ZHANG Ming
%A 张明
%J 计算机科学
%D 2008
%I 
%X It is investigated in this paper that the polynomial basis functions are approximated by functional network with three-layer.It is shown that for a given polynomial function with r order a three-layer functional network can be constructed by a constructive method to approximate the polynomial to any degree of accuracy.The number of mid-unit of the constructed functional network only depends on the order of approximated basis functions.The obtained results are more important for constructing a three-layer fu...
%K Polynomial basis functions
%K Functional network
%K Construction method
%K Approximation theory<br>多项式基函数
%K 泛函网络
%K 构造方法
%K 逼近理论
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=64A12D73428C8B8DBFB978D04DFEB3C1&aid=056524A9FE3B4AD89D981290322F1EBD&yid=67289AFF6305E306&vid=6209D9E8050195F5&iid=5D311CA918CA9A03&sid=EFD65B51496FB200&eid=CDEBD1ACE0A4C1C1&journal_id=1002-137X&journal_name=计算机科学&referenced_num=0&reference_num=23