Handle URI:
http://hdl.handle.net/10754/599420
Title:
Quadrature formulas for Fourier coefficients
Authors:
Bojanov, Borislav; Petrova, Guergana
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.
Citation:
Bojanov B, Petrova G (2009) Quadrature formulas for Fourier coefficients. Journal of Computational and Applied Mathematics 231: 378–391. Available: http://dx.doi.org/10.1016/j.cam.2009.02.097.
Publisher:
Elsevier BV
Journal:
Journal of Computational and Applied Mathematics
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
Sep-2009
DOI:
10.1016/j.cam.2009.02.097
Type:
Article
ISSN:
0377-0427
Sponsors:
The first author was supported by the Sofia University Research grant # 135/2008 and by Swiss-NSF Scopes Project IB7320-111079. The work of second author has been supported in part by the NSF Grants #DMS-0505501 and #DMS-0810869, and by Award # KUS-C1-016-04, given by King Abdullah University of Science and Technology (KAUST).
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Full metadata record

DC FieldValue Language
dc.contributor.authorBojanov, Borislaven
dc.contributor.authorPetrova, Guerganaen
dc.date.accessioned2016-02-28T05:50:48Zen
dc.date.available2016-02-28T05:50:48Zen
dc.date.issued2009-09en
dc.identifier.citationBojanov B, Petrova G (2009) Quadrature formulas for Fourier coefficients. Journal of Computational and Applied Mathematics 231: 378–391. Available: http://dx.doi.org/10.1016/j.cam.2009.02.097.en
dc.identifier.issn0377-0427en
dc.identifier.doi10.1016/j.cam.2009.02.097en
dc.identifier.urihttp://hdl.handle.net/10754/599420en
dc.description.abstractWe 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.en
dc.description.sponsorshipThe first author was supported by the Sofia University Research grant # 135/2008 and by Swiss-NSF Scopes Project IB7320-111079. The work of second author has been supported in part by the NSF Grants #DMS-0505501 and #DMS-0810869, and by Award # KUS-C1-016-04, given by King Abdullah University of Science and Technology (KAUST).en
dc.publisherElsevier BVen
dc.subjectFourier-Tchebycheff coefficientsen
dc.subjectGaussian quadraturesen
dc.subjectNumerical integrationen
dc.subjectOrthogonal polynomialsen
dc.titleQuadrature formulas for Fourier coefficientsen
dc.typeArticleen
dc.identifier.journalJournal of Computational and Applied Mathematicsen
dc.contributor.institutionSofia University St. Kliment Ohridski, Sofia, Bulgariaen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
kaust.grant.numberKUS-C1-016-04en
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