Some density results by deep Kantorovich type neural network operators (Q6146378)

Some density results by deep Kantorovich type neural network operators are established. At first, a two layer neural network operator is defined, and the corresponding density results in the spaces \(C[-1,1]\) and \(L^{p}[-1,1]\), \(p \geq 1\) are given. Furthermore, its extension onto a multi-layer neural network operator is given, and the corresponding density results are proved.