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Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials
dc.creator | Đukić, Dušan | |
dc.creator | Reichel, Lothar | |
dc.creator | Spalević, Miodrag | |
dc.date.accessioned | 2022-09-19T18:40:38Z | |
dc.date.available | 2022-09-19T18:40:38Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 0168-9274 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/3017 | |
dc.description.abstract | Generalized averaged Gaussian quadrature rules and truncated variants associated with a nonnegative measure with support on a real open interval {t : a lt t lt b} may have nodes outside this interval, in other words the rules may fail to be internal. Such rules cannot be applied when the integrand is defined on {t : a lt t lt b} only. This paper investigates whether generalized averaged Gaussian quadrature rules and truncated variants are internal for measures induced by Chebyshev polynomials. Our results complement those of Notaris [13] for Gauss-Kronrod quadrature formulas for the same kind of measures. | en |
dc.publisher | Elsevier Science Bv, Amsterdam | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174002/RS// | |
dc.relation | NSF grant DMS-1720259 | |
dc.relation | NSF grant DMS-1729509 | |
dc.rights | restrictedAccess | |
dc.source | Applied Numerical Mathematics | |
dc.subject | Truncated generalized averaged Gauss quadrature | en |
dc.subject | Measures induced by Chebyshev polynomials | en |
dc.subject | Internality of quadrature | en |
dc.subject | Gauss quadrature | en |
dc.subject | Averaged Gauss quadrature | en |
dc.title | Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 205 | |
dc.citation.other | 142: 190-205 | |
dc.citation.rank | M21 | |
dc.citation.spage | 190 | |
dc.citation.volume | 142 | |
dc.identifier.doi | 10.1016/j.apnum.2019.03.008 | |
dc.identifier.scopus | 2-s2.0-85063645547 | |
dc.identifier.wos | 000467670800012 | |
dc.type.version | publishedVersion |