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.
Titolo: | Legendre polynomials of the second kind, Fourier series and Lagrange interpolation |
Autori: | |
Data di pubblicazione: | 1996 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11563/16344 |
Appare nelle tipologie: | 1.1 Articolo su Rivista |
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