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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Die Kommunalwissenschaften und ihre Pflegethese operators to the unit operator, as we are studying the univariate case. We treat also analogously the multivariate case by using Fréchet derivatives. The functions under approximation are Banach space valued. It follows [.].

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Quantitative Approximation by Kantorovich-Shilkret Quasi-interpolation Neural Network Operators Revhey are additionally uniformly continuous we derive pointwise and uniform convergences. We include also the related Complex approximation. Our activation functions are induced by the arctangent, algebraic, Gudermannian and generalized symmetrical sigmoid functions. It follows [.].

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,Algebraic Function Induced Banach Space Valued Ordinary and Fractional Neural Network Approximation or all the real line by quasi-interpolation Banach space valued neural network operators. These approximations are derived by establishing Jackson type inequalities involving the modulus of continuity of the engaged function or its Banach space valued high order derivative or fractional derivatives

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Gudermannian Function Induced Banach Space Valued Ordinary and Fractional Neural Network Approximatval or all the real line by quasi-interpolation Banach space valued neural network operators. These approximations are derived by establishing Jackson type inequalities involving the modulus of continuity of the engaged function or its Banach space valued high order derivative or fractional derivati

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