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dc.contributor.authorPetrovic, Nevena-
dc.contributor.authorPranić, Miroslav-
dc.contributor.authorStanić, Marija-
dc.contributor.authorTomović, Tatjana-
dc.date.accessioned2025-01-10T11:09:18Z-
dc.date.available2025-01-10T11:09:18Z-
dc.date.issued2024-
dc.identifier.issn0377-0427en_US
dc.identifier.urihttps://scidar.kg.ac.rs/handle/123456789/21916-
dc.description.abstractLaurie in [Math. Comp., 65(1996), pp. 739–747] introduced anti-Gaussian quadrature rule, that gives an error equal in magnitude but of opposite sign to that of the corresponding Gaussian quadrature rule. Guided by that idea, in this paper we consider a set of anti-Gaussian quadrature rules for the optimal set of quadrature rules in Borges’ sense (see [Numer. Math., 67(1994), pp. 271–288]), as well as the corresponding class of multiple orthogonal polynomials. The main properties of such quadrature rules and multiple orthogonal polynomials are proved and numerical methods for their constructions are presented. Some numerical examples are also included.en_US
dc.description.sponsorshipSerbian Ministry of Science, Technological Development, and Innovations, Serbia (contract numbers 451-03-47/2023-01/200108 and 451-03-47/2023-01/ 200122)en_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Computational and Applied Mathematicsen_US
dc.subjectAnti-Gaussian quadrature rulesen_US
dc.subjectOptimal set of quadrature rules in Borges’ senseen_US
dc.subjectWeight functionsen_US
dc.subjectAveraged Gaussian formulaen_US
dc.subjectMultiple orthogonal polynomialsen_US
dc.titleThe set of anti-Gaussian quadrature rules for the optimal set of quadrature rules in Borges’ senseen_US
dc.typearticleen_US
dc.description.versionPublisheden_US
dc.identifier.doi10.1016/j.cam.2023.115733en_US
dc.type.versionPublishedVersionen_US
Налази се у колекцијама:Faculty of Mechanical and Civil Engineering, Kraljevo

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