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A note on generalized averaged Gaussian formulas for a class of weight functions
dc.creator | Spalević, Miodrag | |
dc.date.accessioned | 2022-09-19T18:59:49Z | |
dc.date.available | 2022-09-19T18:59:49Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 1017-1398 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/3298 | |
dc.description.abstract | In the recent paper Notaris (Numer. Math., 142:129-147,2019) it has been introduced a new and useful class of nonnegative measures for which the well-known Gauss-Kronrod quadrature formulae coincide with the generalized averaged Gaussian quadrature formulas. In such a case, the given generalized averaged Gaussian quadrature formulas are of the higher degree of precision, and can be numerically constructed by an effective and simple method; see Spalevic (Math. Comp., 76:1483-1492,2007). Moreover, as almost immediate consequence of our results from Spalevic (Math. Comp.,76:1483-1492,2007) and that theory, we prove the main statements in Notaris (Numer. Math.,142:129-147,2019) in a different manner, by means of the Jacobi tridiagonal matrix approach. | en |
dc.publisher | Springer, Dordrecht | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174002/RS// | |
dc.rights | restrictedAccess | |
dc.source | Numerical Algorithms | |
dc.subject | Stieltjes polynomials | en |
dc.subject | Gauss-Kronrod quadrature | en |
dc.subject | Averaged Gaussian quadrature | en |
dc.title | A note on generalized averaged Gaussian formulas for a class of weight functions | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 993 | |
dc.citation.issue | 3 | |
dc.citation.other | 85(3): 977-993 | |
dc.citation.rank | aM21 | |
dc.citation.spage | 977 | |
dc.citation.volume | 85 | |
dc.identifier.doi | 10.1007/s11075-019-00848-x | |
dc.identifier.scopus | 2-s2.0-85076132793 | |
dc.identifier.wos | 000574621100001 | |
dc.type.version | publishedVersion |