Quadrature formulas for Fourier coefficients |
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Authors: | Borislav Bojanov Guergana Petrova |
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Affiliation: | a Department of Mathematics, University of Sofia, Blvd. James Boucher 5, Sofia 1164, Bulgaria b Texas A&M University, Department of Mathematics, College Station, 77843-3368 TX, United States |
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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. |
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Keywords: | 65D32 65D30 41A55 |
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