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. Our results can be applied, for example, to Mellin type integral operator, Bernstein polynomials and multivariate moment operators.
A Korovkin theorem in multivariate modular function spaces
BARDARO, Carlo;MANTELLINI, Ilaria
2009
Abstract
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. Our results can be applied, for example, to Mellin type integral operator, Bernstein polynomials and multivariate moment operators.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
