In this paper we study the modular convergence in abstract modular function spaces for sequences of general linear operators. The main reason of this work is to furnish a general method in order to give a unitary approach to various classical approximation theorems for sequences of operators from the integral convolution operator to the discrete operator, including the sampling series.
Generalized sampling operators in modular spaces
MANTELLINI, Ilaria
1998
Abstract
In this paper we study the modular convergence in abstract modular function spaces for sequences of general linear operators. The main reason of this work is to furnish a general method in order to give a unitary approach to various classical approximation theorems for sequences of operators from the integral convolution operator to the discrete operator, including the sampling series.File in questo prodotto:
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