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The Error Estimates of Kronrod Extension for Gauss-Radau and Gauss-Lobatto Quadrature with the Four Chebyshev Weights
dc.creator | Jandrlić, Davorka | |
dc.creator | Pejčev, Aleksandar | |
dc.creator | Spalević, Miodrag | |
dc.date.accessioned | 2022-09-19T19:32:56Z | |
dc.date.available | 2022-09-19T19:32:56Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 0354-5180 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/3782 | |
dc.description.abstract | In this paper, we consider the Kronrod extension for the Gauss-Radau and Gauss-Lobatto quadrature consisting of any one of the four Chebyshev weights. The main purpose is to effectively estimate the error of these quadrature formulas. This estimate needs a calculation of the maximum of the modulus of the kernel. We compute explicitly the kernel function and determine the locations on the ellipses where a maximum modulus of the kernel is attained. Based on this, we derive effective error bounds of the Kronrod extensions if the integrand is an analytic function inside of a region bounded by a confocal ellipse that contains the interval of integration. | en |
dc.publisher | Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš | |
dc.relation | info:eu-repo/grantAgreement/MESTD/inst-2020/200105/RS// | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174002/RS// | |
dc.rights | openAccess | |
dc.source | Filomat | |
dc.subject | Remainder term for analytic function | en |
dc.subject | Gauss-Kronrod quadrature formulae | en |
dc.subject | Error bound | en |
dc.title | The Error Estimates of Kronrod Extension for Gauss-Radau and Gauss-Lobatto Quadrature with the Four Chebyshev Weights | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 977 | |
dc.citation.issue | 3 | |
dc.citation.other | 36(3): 961-977 | |
dc.citation.rank | M22~ | |
dc.citation.spage | 961 | |
dc.citation.volume | 36 | |
dc.identifier.doi | 10.2298/FIL2203961J | |
dc.identifier.fulltext | http://machinery.mas.bg.ac.rs/bitstream/id/2329/3779.pdf | |
dc.identifier.scopus | 2-s2.0-85130725366 | |
dc.identifier.wos | 000778010200021 | |
dc.type.version | publishedVersion |