dc.creator | Tomanović, Jelena | |
dc.date.accessioned | 2023-09-04T09:09:26Z | |
dc.date.available | 2023-09-04T09:09:26Z | |
dc.date.issued | 2023 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/6959 | |
dc.description.abstract | When the Gauss quadrature formula $G_n$ is applied, it is usually assumed that the weight function (or the measure) is non-negative on the integration interval $[a,b]$. In the present paper, we introduce a Gauss-type quadrature formula $Q_n$ for weight functions that change the sign in the interior of $[a,b]$. It proves that all nodes of $Q_n$ are pairwise distinct and contained in the interior of $[a,b]$. Moreover, $G_n$ (with a non-negative weight function) turns out to be a special case of $Q_n$. Obtained results on the remainder term of $Q_n$ suggest that the application of $Q_n$ makes sense both when the points from the interior of $[a,b]$ at which the weight function changes sign are known exactly, as well as when those points are known approximately. The accuracy of $Q_n$ is confirmed by numerical examples. | sr |
dc.language.iso | en | sr |
dc.rights | openAccess | sr |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-sa/4.0/ | |
dc.source | CANA23, Book of abstracts | sr |
dc.subject | Gauss quadrature rule | sr |
dc.subject | Variable-sign weight function | sr |
dc.subject | Modifier function | sr |
dc.subject | Vandermonde matrix | sr |
dc.subject | Maximum norm | sr |
dc.title | Gauss-type quadrature rules for variable-sign weight functions | sr |
dc.type | conferenceObject | sr |
dc.rights.license | BY-NC-SA | sr |
dc.citation.rank | M34 | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_machinery_6959 | |
dc.type.version | publishedVersion | sr |