| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4640843 | Journal of Computational and Applied Mathematics | 2009 | 14 Pages |
Abstract
We consider quadrature formulas of high degree of precision for the computation of the Fourier coefficients in expansions of functions with respect to a system of orthogonal polynomials. In particular, we show the uniqueness of a multiple node formula for the Fourier–Tchebycheff coefficients given by Micchelli and Sharma and construct new Gaussian formulas for the Fourier coefficients of a function, based on the values of the function and its derivatives.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Borislav Bojanov, Guergana Petrova,