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In this chapter, we create a family of neural-network (NN) operators employing a parametrized and deformed half-hyperbolic tangent function as an activation function and, a density function produced by the same activation function. Moreover, we consider the univariate-quantitative approximations by complex-valued neural network (NN) operators of complex-valued functions on a compact domain. Pointwise and uniform convergence results on Banach spaces are acquired by trigonometric, hyperbolic, hybrid type: hyperbolic-trigonometric approaches.

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Parametrized Half Hyperbolic Tangent Function-Based Complex-Valued Neural-Network Approximation

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  • 发表日期：

    2026年

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  • George A. Anastassiou

摘要

In this chapter, we create a family of neural-network (NN) operators employing a parametrized and deformed half-hyperbolic tangent function as an activation function and, a density function produced by the same activation function. Moreover, we consider the univariate-quantitative approximations by complex-valued neural network (NN) operators of complex-valued functions on a compact domain. Pointwise and uniform convergence results on Banach spaces are acquired by trigonometric, hyperbolic, hybrid type: hyperbolic-trigonometric approaches.