3 papers
math.FA2025
Approximation by Neural Network operators in spaces associated with an arbitrary measure
Nitin Bartwal, A. Sathish Kumar
In this paper, we investigate the approximation behavior of both one and multidimensional neural network type operators for functions in , where , asso…
math.FA2025
On Hermite type sampling Kantorovich operators in the settings of mixed norm Spaces
Puja Sonawane, A. Sathish Kumar
In this paper, we analyze the convergence behavior of Hermite-type sampling Kantorovich operators in the context of mixed norm spaces. We prove certain direct approximation theorem…
math.FA2025
Approximation by Neural Network Sampling Operators in Mixed Lebesgue Spaces
Arpan Kumar Dey, A. Sathish Kumar, P. Devaraj
In this paper, we prove the rate of approximation for the Neural Network Sampling Operators activated by sigmoidal functions with mixed Lebesgue norm in terms of averaged modulus o…