Geodesic
Simultaneous approximation of polynomial functions and its derivatives by feedforward artificial neural networks with one hidden layer
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 2, pp. 78-82 
N. S. Uzentsova; S. P. Sidorov. Simultaneous approximation of polynomial functions and its derivatives by feedforward artificial neural networks with one hidden layer. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 2, pp. 78-82. http://geodesic.mathdoc.fr/item/ISU_2013_13_2_a11/
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     title = {Simultaneous approximation of polynomial functions and its derivatives by feedforward artificial neural networks with one hidden layer},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we propose the algorithm for finding weights of feedforward artificial neural networks with one hidden layer to approximate polynomial functions and its derivatives with a given error. We use the rational sigmoidal function as a transfer function.

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[4] Sidorov S. P., “On the error of approximation of algebraical polynomials by means of artificial feedforward neural networks”, Neirokomp'iutery: razrabotka, primenenie, 2005, no. 5, 13–17