Приказ основних података о документу
On the remainder term of Gauss-Radau quadratures for analytic functions
dc.creator | Milovanović, Gradimir | |
dc.creator | Spalević, Miodrag | |
dc.creator | Pranić, Miroslav | |
dc.date.accessioned | 2023-03-04T07:42:53Z | |
dc.date.available | 2023-03-04T07:42:53Z | |
dc.date.issued | 2008 | |
dc.identifier.issn | 0377-0427 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/5086 | |
dc.description.abstract | For analytic functions the remainder term of Gauss–Radau quadrature formulae can be represented as a contour integral with a complex kernel. We study the kernel on elliptic contours with foci at the points and a sum of semi-axes for the Chebyshev weight function of the second kind. Starting from explicit expressions of the corresponding kernels the location of their maximum modulus on ellipses is determined. The corresponding Gautschi's conjecture from [On the remainder term for analytic functions of Gauss–Lobatto and Gauss–Radau quadratures, Rocky Mountain J. Math. 21 (1991), 209–226] is proved. | sr |
dc.language.iso | en | sr |
dc.publisher | Elsevier | sr |
dc.relation | Serbian Ministry of Science and Environmental Protection (Project #144005A: “Approximation of linear operators”) | sr |
dc.rights | restrictedAccess | sr |
dc.source | Journal of Computational and Applied Mathematics | sr |
dc.subject | Gauss–Radau quadrature formula | sr |
dc.subject | Chebyshev weight function | sr |
dc.subject | Error bound | sr |
dc.subject | Remainder term for analytic functions | sr |
dc.subject | Contour integral representation | sr |
dc.title | On the remainder term of Gauss-Radau quadratures for analytic functions | sr |
dc.type | article | sr |
dc.rights.license | ARR | sr |
dc.citation.epage | 289 | |
dc.citation.issue | 2 | |
dc.citation.rank | M21 | |
dc.citation.spage | 281 | |
dc.citation.volume | 218 | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_machinery_5086 | |
dc.type.version | publishedVersion | sr |