In this paper we study approximation properties for a general class of integral operators which represents an abstract and very general version of the classical sampling type operators and we give pointwise, uniform and modular convergence thorems in abstract modular spaces. We apply the results to some kinds of discrete operators.
On global approximation properties of abstract integral operators in Orlicz Spaces and applications
BARDARO, Carlo;MANTELLINI, Ilaria
2005
Abstract
In this paper we study approximation properties for a general class of integral operators which represents an abstract and very general version of the classical sampling type operators and we give pointwise, uniform and modular convergence thorems in abstract modular spaces. We apply the results to some kinds of discrete operators.File in questo prodotto:
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