Rates of approximation for general sampling-type operators in the setting of filter convergence

摘要

We investigate the order of approximation of a real-valued function f by means of suitable families of sampling type operators, which include both discrete and integral ones. We give a unified approach, by means of which it is possible to consider several kinds of classical operators, for instance Urysohn integral operators, in particular Mellin-type convolution integrals, and generalized sampling series.We deal with filter convergence, obtaining proper extensions of classical results.