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Quadrature formulas for Fourier coefficients

✍ Scribed by Borislav Bojanov; Guergana Petrova


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
774 KB
Volume
231
Category
Article
ISSN
0377-0427

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✦ Synopsis


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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