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- W4387183983 abstract "Here we describe multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or $$mathbb {R}^{N},$$ $$Nin mathbb {N}$$ , by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature type neural network operators. We treat also the case of approximation by iterated operators of the last four types, these correspond to hidden multi-layer neural networks. The approximations are derived by establishing multidimensional Jackson type inequalities involving the multivariate modulus of continuity of the engaged function or its high order partial derivatives. Our multivariate operators are defined by using a multidimensional density function induced by a parametrized error function." @default.
- W4387183983 created "2023-09-30" @default.
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- W4387183983 date "2023-01-01" @default.
- W4387183983 modified "2023-09-30" @default.
- W4387183983 title "Banach Space Valued Multivariate Multi Layer Neural Network Approximation Based on Parametrized Error Activation Function" @default.
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- W4387183983 doi "https://doi.org/10.1007/978-3-031-43021-3_10" @default.
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