In this paper we consider a new definition of generalized sampling type series using an approach introduced by Durrmeyer for Bernstein polynomials. We establish an asymptotic formula for functions with a polynomial growth and as a consequence we obtain a Voronovskaja type formula. Then we consider suitable linear combinations that provide a better order of approximation. Finally particular examples are given, in particular certain central B-splines are discussed

Asymptotic expansion of generalized Durrmeyer sampling type series

BARDARO, Carlo;MANTELLINI, Ilaria
2014

Abstract

In this paper we consider a new definition of generalized sampling type series using an approach introduced by Durrmeyer for Bernstein polynomials. We establish an asymptotic formula for functions with a polynomial growth and as a consequence we obtain a Voronovskaja type formula. Then we consider suitable linear combinations that provide a better order of approximation. Finally particular examples are given, in particular certain central B-splines are discussed
2014
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.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1167274
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 28
  • ???jsp.display-item.citation.isi??? ND
social impact