Multivariate Fuzzy-random Quasi-interpolation Neural Network Approximation Operators

摘要

In this paper we study the rate of multivariate pointwise and uniform convergence in the q -mean to the Fuzzy-random unit operator of multivariate Fuzzy-Random Quasi-Interpolation neural network operators. These multivariate Fuzzy-Random operators arise in a natural and common way among multivariate Fuzzy-Random neural networks. These rates are given through multivariate Probabilistic-Jackson type inequalities involving the multivariate Fuzzy-Random modulus of continuity of the engaged multivariate Fuzzy-Random function. The plain stochastic extreme analog of this theory is also presented.