A so-called probabilistic sampling Kantorovich operator is just the classical operator applied to additively noisy input, and its main convergence theorem relies on an unstated vanishing-noise assumption.
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On a novel probabilistic Sampling Kantorovich operators and their application
A so-called probabilistic sampling Kantorovich operator is just the classical operator applied to additively noisy input, and its main convergence theorem relies on an unstated vanishing-noise assumption.