In this paper we study the convergence in Lp-spaces of the classical WKS sampling operator in case of discontinuous signals, using the averaged moduli of smoothness introduced by Sendov and Popov, and we give several applications. In particular we give specific examples which show the importance of using these moduli of smoothness
Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals
BARDARO, Carlo;VINTI, Gianluca
2006
Abstract
In this paper we study the convergence in Lp-spaces of the classical WKS sampling operator in case of discontinuous signals, using the averaged moduli of smoothness introduced by Sendov and Popov, and we give several applications. In particular we give specific examples which show the importance of using these moduli of smoothnessFile in questo prodotto:
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