[1]Chen Tianping, Chen Hong, Lin Ruewen. Approximationn capability in C(R^n) by multilayer feedforward networks and related problems. IEE E Tran Neural Networks, 1995, 6(1): 25-30
[2] Chen Tianping, Chen Hong. Approximation capability to functions of several variables, nonlinear functions, and operators by radial basis function neural networks. IEEE Tran Neural Networks, 1995, 6(4): 904-910
[3] Chen Tianping, Chen Hong. Universal approximation to nonlinear operators by neural networks with arbitrary action functions and its application to dynami cal systems. IEEE Tran Neural Networks, 1995, 6(4): 911-917
[4] 蒋传海, 陈天平. Wm2(Rn)中单个函数的平移和伸缩组合的稠密性. 数学学报,1999, 42(3): 495-500
[5] 蒋传海, 陈天平 Sobolev空间W^m_2(R^d)中平移不变子空间的逼近 问题. 数学年刊, 1999,]20A(4):499-504
[6]Jiang Chuanhai. Problems of approximation in neural network. C hin Ann Math, 1998, 19A(3): 295-300 (in Chinese)
[7]蒋传海, 郭洪斌.L^p(R^n)中的神经网络逼近和系统识别. 数 学年刊, 2000, 21A(4): 417-422
[8]Cybenko G. Approximation by superpositions of a single function . Mathematics of Control, Signals and Systems, 1989, 2: 303-314
[9]Chen Tianping, Chen Hong. Denseness or radial basis functions in neural n etworks. Chin Ann Math. 1996, 17B: 219-226
[10]Chen Tianping, Chen Hong. Universal approximation capability of RBF neural networks with arbitrary action function. Circuits syatems, Signal Processing, 1996, 15: 671-683
[11]Mhaskar H N, Micchelli C A. Approximation by superposition of sigmoidal and radial basis functions. Advanced in Applied Mathematics, 1992, 13:350-373
[12]Mhaskar H N, Micchelli C A. Degree of approximation by neural and translation networks with single hidden layer. Advanced in Applied Math, 1995, 16: 151-183
[13]王建力,盛宝怀,周颂平. 非周期神经网络及平移网络在L^p_w中的逼近. 数学学报,2003,46(1) : 65-74
[14]Mhaskar H N, Narcowich F J, Ward J D. Approximation properties o f zonal function networks using scattered data on the sphere. Advances in Computational Mathematics, 1999, 11(2): 121-127
[15]Mhaskar H N, Narcowich F J, Ward D. Zonal function network frames on th e sphere. Neural Networks, 2003, 16(2): 183-203
[16]李落清. 球面函数逼近论. 湖北大学学报(自然科学版),1995,17(3):261-268
[17]Wang Kunyang, Li Luoqing. Harmonic Analysis and Approximation on the Unit Sphere. Beijing/New York: Science Press,2000
[18]Brown G, Dai Feng, Sun Yongsheng. Kolmogorov width of classes of sm ooth functions on the sphereS^{d-1}. Advances in Mathematics (Beijing ), 2000, 31(2): 181-184
[19]Mhaskar H N, Narcowich F J, Ward J D. Spherical MarcinkiewiczZygmun d inequalitiesand positive quadrature. Mathematics of Computation, 2000, 70(235): 1113-1130
[20]Mhaskar H N, Narcowich F J, Ward J D. Corrigendum to “Spherical Marc inkiewiczZygmund inequalities and positive quadrature”. Mathematics of Computation, 2001, 71(237): 453-454
[21]Berens H, Li Luoqing. On the de la Vallée Poussin means on the sphere. Results in Math, 1993, 24(1): 14-26
[22]Lubinsky D S, Totik V. Best weighted polynomial approximation via Jaco bi expansions. SIAM J Math Anal, 1994, 25(2): 555-570 |