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Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators

In this paper, an asymptotic formula for the so-called multivariate neural network (NN) operators has been established. As a direct consequence, a first and a second order pointwise Voronovskaja type theorem has been reached. At the end, the particular case of the NN operators activated by the logistic function has been treated in details.

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Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators

Semantic Scholar · Mathematics · 2020

Abstract

In this paper, an asymptotic formula for the so-called multivariate neural network (NN) operators has been established. As a direct consequence, a first and a second order pointwise Voronovskaja type theorem has been reached. At the end, the particular case of the NN operators activated by the logistic function has been treated in details.

Source of record · Semantic Scholar

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