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The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type
dc.creator | Orive, Ramon | |
dc.creator | Pejčev, Aleksandar | |
dc.creator | Spalević, Miodrag | |
dc.date.accessioned | 2022-09-19T19:06:50Z | |
dc.date.available | 2022-09-19T19:06:50Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0096-3003 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/3401 | |
dc.description.abstract | In this paper, we consider the Gauss quadrature formulae corresponding to some modifications of each of the four Chebyshev weights, considered by Gautschi and Li in [4]. As it is well known, in the case of analytic integrands the error of these quadrature formulas can be represented as a contour integral with a complex kernel. We study the kernel of the mentioned quadrature formulas on suitable elliptic contours, in such a way that the behavior of its modulus is analyzed in a rather simple manner, allowing us to derive some effective error bounds. In addition, some numerical examples checking the accuracy of such error bounds are included. | en |
dc.publisher | Elsevier Science Inc, New York | |
dc.relation | Research Project of Ministerio de Ciencia e Innovacion (Spain) [MTM2015-71352-P | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174002/RS// | |
dc.rights | restrictedAccess | |
dc.source | Applied Mathematics and Computation | |
dc.subject | remainder term for analytic functions | en |
dc.subject | Gauss quadrature formulae | en |
dc.subject | error bound | en |
dc.subject | contour integral representation | en |
dc.subject | Chebyshev weight functions | en |
dc.title | The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.other | 369: - | |
dc.citation.rank | aM21 | |
dc.citation.volume | 369 | |
dc.identifier.doi | 10.1016/j.amc.2019.124806 | |
dc.identifier.scopus | 2-s2.0-85074176919 | |
dc.identifier.wos | 000500918200045 | |
dc.type.version | publishedVersion |