Continuing some investigations started in previous papers, we introduce and study a sequence of multidimensional positive integral operators which generalize the Gauss-Weierstrass operators. We show that this sequence is an approximation process in some classes of weighted L^p spaces on R^N. Estimates of the rate of convergence are also obtained.
On a sequence of integral operators on weighted Lp spaces
ALTOMARE, Francesco;
2008-01-01
Abstract
Continuing some investigations started in previous papers, we introduce and study a sequence of multidimensional positive integral operators which generalize the Gauss-Weierstrass operators. We show that this sequence is an approximation process in some classes of weighted L^p spaces on R^N. Estimates of the rate of convergence are also obtained.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.
