Approximation by Steklov Neural Network Operators

[Submitted on 2 Oct 2024 (v1), last revised 17 Dec 2024 (this version, v2)]

View a PDF of the paper titled Approximation by Steklov Neural Network Operators, by S. N. Karaman and 2 other authors

Abstract:The present paper deals with construction of newly family of Neural Network operators, that is, Steklov Neural Network operators. By using Steklov type integral, we introduce a new version of Neural Network operators and we obtain some convergence theorems for the family, such as, pointwise and uniform convergence, rate of convergence via modulus of continuity.