In order to approximate functions defined on ( - 1, 1) with exponential growth for |x| → 1, we consider interpolation processes based on the zeros of orthonormal polynomials with respect to exponential weights. Convergence results and error estimates in weighted Lp metric and uniform metric are given. In particular, in some function spaces, the related interpolating polynomials behave essentially like the polynomial of best approximation. © 2012.
Lagrange interpolation with exponential weights on ( - 1, 1)
Notarangelo I.
2013-01-01
Abstract
In order to approximate functions defined on ( - 1, 1) with exponential growth for |x| → 1, we consider interpolation processes based on the zeros of orthonormal polynomials with respect to exponential weights. Convergence results and error estimates in weighted Lp metric and uniform metric are given. In particular, in some function spaces, the related interpolating polynomials behave essentially like the polynomial of best approximation. © 2012.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
MastroianniNotarangeloJAT2013.pdf
Accesso aperto
Dimensione
318.38 kB
Formato
Adobe PDF
|
318.38 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
