We discuss sampling (interpolation) by translates of sinc functions for data restricted to a nite interval. We indicate how the Floater{Hormann (cf. [8]) of the Berrut normalization (cf. [2]), in the case of equally spaced nodes, can be regarded as a sampling operator with improved approximation properties that remains numerically stable. We provide a compact formula for the denominator of the Floater{Hormann operator. Finally we use this compact formula to compute, for the case of the Berrut operator, the asymptotics of the associated quadrature weights
On the Whittaker--Shannon sampling by means of Berrut's rational interpolant and its extension by Floater and Hormann
DE MARCHI, STEFANO
2011
Abstract
We discuss sampling (interpolation) by translates of sinc functions for data restricted to a nite interval. We indicate how the Floater{Hormann (cf. [8]) of the Berrut normalization (cf. [2]), in the case of equally spaced nodes, can be regarded as a sampling operator with improved approximation properties that remains numerically stable. We provide a compact formula for the denominator of the Floater{Hormann operator. Finally we use this compact formula to compute, for the case of the Berrut operator, the asymptotics of the associated quadrature weights
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
