Approximation by truncated max-product operators of Kantorovich-type based on generalized (phi, psi)-kernels

摘要

Suggested by the max-product sampling operators based on sinc-Fejer kernels, in this paper, we introduce truncated max-product Kantorovich operators based on generalized type kernels depending on two functions phi and psi satisfying a set of suitable conditions. Pointwise convergence, quantitative uniform convergence in terms of the moduli of continuity, and quantitative L-p-approximation results in terms of a K-functional are obtained. Previous results in sampling and neural network approximation are recaptured, and new results for many concrete examples are obtained.