Quadrature formulas for Fourier coefficients Academic Article

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. 2009 Elsevier B.V. All rights reserved.

authors

• Petrova, Guergana

published proceedings

• Journal of Computational and Applied Mathematics

author list (cited authors)

• Bojanov, B., & Petrova, G.

citation count

• 9

complete list of authors

• Bojanov, Borislav||Petrova, Guergana

publication date

• January 2009

publisher

• Elsevier  Publisher

published in

• Journal of Computational and Applied Mathematics  Journal

Digital Object Identifier (DOI)

• 10.1016/j.cam.2009.02.097

start page

• 378

end page

• 391

volume

• 231

issue

• 1