In this paper a modular version of the classical Korovkin theorem in multivariate modular function spaces is obtained and applications to some multivariate discrete and integral operators, acting in Orlicz spaces, are given.
The Whittaker-Shannon-Kotel'nikov sampling theorem enables one to reconstruct signals f bandlimited to [−πW, πW ] from its sampled values f (k/W ), k ∈ Z, in terms of
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