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math.FA2024★ 4 cited
Simultaneous approximation by neural network operators with applications to Voronovskaja formulas
Marco Cantarini, Danilo Costarelli
In this paper, we considered the problem of the simultaneous approximation of a function and its derivatives by means of the well-known neural network (NN) operators activated by s…
math.NT2024
Laplace convolutions of weighted averages of arithmetical functions
Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini
Let be the summatory function of an arithmetical function . In this paper, we prove that we can write weighted averages of an arbitrary fixed num…