Parametrized hyperbolic tangent based Banach space valued multivariate multi layer neural network approximations

Seda Karateke

Here we examine the multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or R N , N ∈ N, by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature type neural network operators. We research also the case of approximation by iterated operators of the last four types, that is multi hidden layer approximations. These approximations are achieved by establishing multidimensional Jackson type inequalities involving the multivariate modulus of continuity of the engaged function or its high order Fr´echet derivatives. Our ...Daha fazlası