We give error estimates for the weighted approximation of functions with singularities at the endpoints on the semiaxis by some modifications of Sz´asz–Mirakyan operators. To do so, we define a new weighted modulus of smoothness and prove its equivalence to the weighted K-functional. Also, the class of functions for which the modified Sz´asz–Mirakyan operator can be defined will be extended to a much wider set than for the original operator.

Weighted approximation of functions by Szasz-Myrakyan-type operators

MASTROIANNI, Giuseppe Maria;
2006

Abstract

We give error estimates for the weighted approximation of functions with singularities at the endpoints on the semiaxis by some modifications of Sz´asz–Mirakyan operators. To do so, we define a new weighted modulus of smoothness and prove its equivalence to the weighted K-functional. Also, the class of functions for which the modified Sz´asz–Mirakyan operator can be defined will be extended to a much wider set than for the original operator.
File in questo prodotto:
File Dimensione Formato  
DellaVecchiaMastroianniSzabadosAMH2006.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: DRM non definito
Dimensione 238.69 kB
Formato Adobe PDF
238.69 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

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: http://hdl.handle.net/11563/1233
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact