Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/9788
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dc.contributor.authorMilovanovic, Gradimir-
dc.contributor.authorStanić, Marija-
dc.date.accessioned2021-04-20T14:03:19Z-
dc.date.available2021-04-20T14:03:19Z-
dc.date.issued2012-
dc.identifier.issn1931-6828-
dc.identifier.urihttps://scidar.kg.ac.rs/handle/123456789/9788-
dc.description.abstract© Springer Science+Business Media, LLC 2012. In this paper, a brief survey of multiple orthogonal polynomials defined using orthogonality conditions spread out over r different measures are given. We consider multiple orthogonal polynomials on the real line, as well as on the unit semicircle in the complex plane. Such polynomials satisfy a linear recurrence relation of order r + 1, which is a generalization of the well known three-term recurrence relation for ordinary orthogonal polynomials (the case r = 1). A method for the numerical construction of multiple orthogonal polynomials by using the discretized Stieltjes-Gautschi procedure are presented. Also, some applications of such orthogonal systems to numerical integration are given. A numerical example is included.-
dc.rightsrestrictedAccess-
dc.sourceSpringer Optimization and Its Applications-
dc.titleMultiple orthogonality and applications in numerical integration-
dc.typebookPart-
dc.identifier.doi10.1007/978-1-4614-3498-6_26-
dc.identifier.scopus2-s2.0-84979055387-
Appears in Collections:Faculty of Science, Kragujevac

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