Quantitative approximation by kantorovich-choquet quasi-interpolation neural network operators
In this article, we present univariate and multivariate basic approximation by Kantorovich-Choquet type quasi-interpolation neural network operators with respect to supremum norm. This is done with rates using the first univariate and multivariate moduli of continuity. We approximate continuous and bounded functions on R N , N ∈ N. When they are also uniformly continuous, we have pointwise and uniform convergences.
Acta Mathematica Universitatis Comenianae
Anastassiou, G. (2019). Quantitative approximation by kantorovich-choquet quasi-interpolation neural network operators. Acta Mathematica Universitatis Comenianae, 88 (1), 113-130. Retrieved from https://digitalcommons.memphis.edu/facpubs/5543