Quadrature formulas for Fourier coefficients

Borislav Bojanov, Guergana Petrova

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)378-391
Number of pages14
JournalJournal of Computational and Applied Mathematics
Volume231
Issue number1
DOIs
StatePublished - Sep 2009
Externally publishedYes

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