Приказ основних података о документу
Error estimates for Gaussian quadratures of analytic functions
dc.creator | Milovanović, Gradimir V. | |
dc.creator | Spalević, Miodrag | |
dc.creator | Pranić, Miroslav S. | |
dc.date.accessioned | 2022-09-19T16:21:23Z | |
dc.date.available | 2022-09-19T16:21:23Z | |
dc.date.issued | 2009 | |
dc.identifier.issn | 0377-0427 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/969 | |
dc.description.abstract | For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at the points +/-1 and the sum of semi-axes Q > 1 for the Chebyshev weight functions of the first, second and third kind, and derive representation of their difference. Using this representation and following Kronrod's method of obtaining a practical error estimate in numerical integration, we derive new error estimates for Gaussian quadratures. | en |
dc.publisher | Elsevier Science Bv, Amsterdam | |
dc.rights | openAccess | |
dc.source | Journal of Computational and Applied Mathematics | |
dc.subject | Remainder term for analytic functions | en |
dc.subject | Gaussian quadrature formula | en |
dc.subject | Error bound | en |
dc.subject | Contour integral representation | en |
dc.subject | Chebyshev weight function | en |
dc.title | Error estimates for Gaussian quadratures of analytic functions | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 807 | |
dc.citation.issue | 3 | |
dc.citation.other | 233(3): 802-807 | |
dc.citation.rank | M21 | |
dc.citation.spage | 802 | |
dc.citation.volume | 233 | |
dc.identifier.doi | 10.1016/j.cam.2009.02.048 | |
dc.identifier.fulltext | http://machinery.mas.bg.ac.rs/bitstream/id/2806/966.pdf | |
dc.identifier.scopus | 2-s2.0-69749112956 | |
dc.identifier.wos | 000271346000029 | |
dc.type.version | publishedVersion |