Quantitative approximation by kantorovich-choquet quasi-interpolation neural network operators

Abstract

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.

Publication Title

Acta Mathematica Universitatis Comenianae

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