The behavior of the Lagrange polynomial Lm.w; f /, based on the zeros of the orthogonal polynomials, is studied in some weighted Besov spaces Bp r;q .u/. It is proved that Lm.w/ is a uniformly bounded map under suitable conditions on the weight functions and the parameters p, r , and q.
Lagrange Interpolation in Weighted Besov Spaces
MASTROIANNI, Giuseppe Maria;RUSSO, Maria Grazia
1999-01-01
Abstract
The behavior of the Lagrange polynomial Lm.w; f /, based on the zeros of the orthogonal polynomials, is studied in some weighted Besov spaces Bp r;q .u/. It is proved that Lm.w/ is a uniformly bounded map under suitable conditions on the weight functions and the parameters p, r , and q.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
MastroianniRussoCA1999.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
DRM non definito
Dimensione
319.62 kB
Formato
Adobe PDF
|
319.62 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.
