We study the problem of approximating a real-valued function f by considering sequences of general operators of sampling type, which include both discrete and integral ones. This approach gives a unitary treatment of various kinds of classical operators, among which Urysohn integral operators, in particular convolution integrals, and generalized sampling series.

Modular filter convergence theorems for abstract sampling type operators

BARDARO, Carlo;BOCCUTO, Antonio;MANTELLINI, Ilaria
2013

Abstract

We study the problem of approximating a real-valued function f by considering sequences of general operators of sampling type, which include both discrete and integral ones. This approach gives a unitary treatment of various kinds of classical operators, among which Urysohn integral operators, in particular convolution integrals, and generalized sampling series.
2013
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/984002
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