|
|||||
|
|
On weight functions which admit explicit Gauss-Turán quadrature formulas |
|
| Authors: | Laura Gori Charles A. Micchelli. |
| Affiliation: | Dipartimento di Metodi e Modelli Matematici, per le Scienze Applicate, Università ``La Sapienza", Via Antonio Scarpa , 16-00161 Roma, Italia Charles A. Micchelli ; Mathematical Sciences Department, IBM T.J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598 |
| Abstract: | The main purpose of this paper is the construction of explicit Gauss-Turán quadrature formulas: they are relative to some classes of weight functions, which have the peculiarity that the corresponding  -orthogonal polynomials, of the same degree, are independent of  . These weights too are introduced and discussed here. Moreover, highest-precision quadratures for evaluating Fourier-Chebyshev coefficients are given. |
| Keywords: | Quadrature Tur'{a}n-type integration rules generalized Jacobi weights |
| 点击此处可从《Mathematics of Computation》浏览原始摘要信息 | |
| 点击此处可从《Mathematics of Computation》下载全文 | |