Titlebook: Banach Space Valued Neural Network; Ordinary and Fractio George A. Anastassiou Book 2023 The Editor(s) (if applicable) and The Author(s), u

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Multivariate Fuzzy Approximation by Neural Network Operators Induced by Several Sigmoid Functions Ron type inequalities involving the multivariate fuzzy moduli of continuity of the .th order (.) . -fuzzy partial derivatives, of the involved multivariate fuzzy number valued function. The treated operators are of averaged, quasi-interpolation, Kantorovich and quadrature types at the multivariate fuzzy setting. It follows [.].

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https://doi.org/10.1007/978-3-642-68259-9ves. Our operators are defined by using a density function generated by the Gudermannian sigmoid function. The approximations are pointwise and of the uniform norm. The related Banach space valued feed-forward neural networks are with one hidden layer. It relies on [.].

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Personalvertretung in den Kommunente modulus of continuity of the engaged function or its high order Fréchet derivatives. Our multivariate operators are defined by using a multidimensional density function induced by the algebraic sigmoid function. The approximations are pointwise and uniform. The related feed-forward neural network is with one hidden layer. It follows [.].