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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/12365
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