аппроксимация функций

Special Wavelets Based on Chebyshev Polynomials of the Second Kind and their Approximative Properties

Authors: Sultanakhmedov M. S.

The system of wavelets and scalar functions based on Chebyshev polynomials of the second kind and their zeros is considered. With the help of them we construct a complete orthonormal system of functions.

Simultaneous Approximation of Polynomial Functions and Its Derivatives by Feedforward Artificial Neural Networks with One Hidden Layer N. S.

Authors: Uzentsova N. S., Sidorov S. P.

 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.