The distribution of the zeros of Jacobi polynomials of the second kind P~(I+J~~~i)s studied, and lower and upper bounds for the corresponding Christoffel functions are given. Fourier expansions in the system {P,(w”~~)} are also considered. Moreover, some theorems on the convergence of Lagrange interpolating polynomials based on the zeros of P~(w”~“) are proved.

Legendre polynomials of the second kind, Fourier series and Lagrange interpolation

MASTROIANNI, Giuseppe Maria;OCCORSIO, Donatella
1996

Abstract

The distribution of the zeros of Jacobi polynomials of the second kind P~(I+J~~~i)s studied, and lower and upper bounds for the corresponding Christoffel functions are given. Fourier expansions in the system {P,(w”~~)} are also considered. Moreover, some theorems on the convergence of Lagrange interpolating polynomials based on the zeros of P~(w”~“) are proved.
File in questo prodotto:
File Dimensione Formato  
MastroianniOccorsioJCAM1996.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: DRM non definito
Dimensione 1.26 MB
Formato Adobe PDF
1.26 MB 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/11563/16344
 Attenzione

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

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 4
social impact