TY - JOUR
T1 - Quadrature formulas for Fourier coefficients
AU - Bojanov, Borislav
AU - Petrova, Guergana
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: 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).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2009/9
Y1 - 2009/9
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/599420
UR - https://linkinghub.elsevier.com/retrieve/pii/S0377042709001836
UR - http://www.scopus.com/inward/record.url?scp=67349084738&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2009.02.097
DO - 10.1016/j.cam.2009.02.097
M3 - Article
SN - 0377-0427
VL - 231
SP - 378
EP - 391
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 1
ER -