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Quadratures with multiple nodes for Fourier-Chebyshev coefficients
dc.creator | Milovanović, Gradimir V. | |
dc.creator | Orive, Ramon | |
dc.creator | Spalević, Miodrag | |
dc.date.accessioned | 2022-09-19T18:50:10Z | |
dc.date.available | 2022-09-19T18:50:10Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 0272-4979 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/3157 | |
dc.description.abstract | Gaussian quadrature formulas, relative to the Chebyshev weight functions, with multiple nodes and their optimal extensions for computing the Fourier coefficients in expansions of functions with respect to a given system of orthogonal polynomials, are considered. The existence and uniqueness of such quadratures is proved. One of them is a generalization of the well-known Micchelli-Rivlin quadrature formula. The others are new. A numerically stable construction of these quadratures is proposed. By determining the absolute value of the difference between these Gaussian quadratures with multiple nodes for the Fourier-Chebyshev coefficients and their corresponding optimal extensions, we get the well-known methods for estimating their error. Numerical results are included. These results are a continuation of the recent ones in Bojanov & Petrova (2009, J. Comput. Appl. Math., 231, 378-391) and Milovanovic & Spalevic (2014, Math. Comput., 83, 1207-1231). | en |
dc.publisher | Oxford Univ Press, Oxford | |
dc.relation | Serbian Academy of Sciences and Arts [F-96] | |
dc.relation | Spanish Ministerio de Ciencia e Innovacion [MTM2015-71352-P] | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174015/RS// | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174002/RS// | |
dc.rights | restrictedAccess | |
dc.source | Ima Journal of Numerical Analysis | |
dc.subject | quadratures with multiple nodes | en |
dc.subject | optimal extensions | en |
dc.subject | Fourier-Chebyshev coefficients | en |
dc.title | Quadratures with multiple nodes for Fourier-Chebyshev coefficients | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 296 | |
dc.citation.issue | 1 | |
dc.citation.other | 39(1): 271-296 | |
dc.citation.rank | aM21 | |
dc.citation.spage | 271 | |
dc.citation.volume | 39 | |
dc.identifier.doi | 10.1093/imanum/drx067 | |
dc.identifier.scopus | 2-s2.0-85058217081 | |
dc.identifier.wos | 000491255100009 | |
dc.type.version | publishedVersion |