Quantitative Approximation by a Kantorovich-Shilkret quasi-interpolation neural network operator
Author
Anastassiou, George A.
Full text
http://revistas.ufro.cl/ojs/index.php/cubo/article/view/206310.4067/S0719-06462018000300001
Abstract
In this article we present multivariate basic approximation by a Kantorovich-Shilkret type quasi-interpolation neural network operator with respect to supremum norm. This is done with rates using the multivariate modulus of continuity. We approximate continuous and bounded functions on ℝN, N ∈ ℕ. When they are additionally uniformly continuous we derive pointwise and uniform convergences.