单隐层神经网络与最佳多项式逼近.pdf

502 Vol.50, No.2 20073 ACTA MATHEMATICA SINICA, Chinese Series Mar., 2007 : 0583-1431(2007)02-0385-08 : A Æ 310018 710049 E-mail: flcao@263.net 310018 510641 . , Æ . : Æ , , . ; ; MR(2000) 41A20, 41A25 O174.41 Neural Networks with Single Hidden Layer and the Best Polynomial Approximation Fei Long CAO Department of Information and Mathematical Sciences, China Jiliang University, Hangzhou 310018, P. R. China Institute of Information and Systems Science, Xi’an Jiaotong University, Xi’an 710049, P. R. China E-mail: flcao@263.net Yong Quan ZHANG Department of Information and Mathematical Sciences, China Jiliang University, Hangzhou 310018, P. R. China Wei Guo ZHANG School of Business Administration, South China University of Technology, Guangzhou 510641, P. R. China Abstract The problem of approximation for neural networks with single hidden layer is studied in this paper.