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In this paper,the technique of approximate partition of unity is used to construct a class of neural networks operators with sigmoidal functions.Using the modulus of continuity of function as a metric,the errors of the operators approximating continuous functions defined on a compact interval are estimated.Furthmore,Bochner-Riesz means operators of double Fourier series are used to construct networks operators for approximating bivariate functions,and the errors of approximation by the operators are estimated.