In this paper we prove quantitative estimates for the Kantorovich version of the neural network operators of the max-product type, in case of continuous and p-integrable functions. In the first case, the estimate is expressed in terms of the modulus of continuity of the functions being approximated, while in the second case, we exploit the Peetre’s K-functionals.
Estimates for the Neural Network Operators of the Max-Product Type with Continuous and p-Integrable Functions
Costarelli, Danilo
;Vinti, Gianluca
2018
Abstract
In this paper we prove quantitative estimates for the Kantorovich version of the neural network operators of the max-product type, in case of continuous and p-integrable functions. In the first case, the estimate is expressed in terms of the modulus of continuity of the functions being approximated, while in the second case, we exploit the Peetre’s K-functionals.File in questo prodotto:
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