Open AccessAsymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators
Author(s) -
Danilo Costarellı,
Gianluca Vıntı
Publication year - 2020
Publication title -
mathematical foundations of computing
Language(s) - English
Resource type - Journals
ISSN - 2577-8838
DOI - 10.3934/mfc.2020004
Subject(s) - multivariate statistics , type (biology) , mathematics , artificial neural network , computer science , statistics , artificial intelligence , biology , ecology
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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