Приказ основних података о документу
On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type
dc.creator | Orive, Ramon | |
dc.creator | Pejčev, Aleksandar | |
dc.creator | Spalević, Miodrag | |
dc.creator | Mihić, Ljubica | |
dc.date.accessioned | 2022-09-19T15:15:47Z | |
dc.date.available | 2022-09-19T15:15:47Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 1017-1398 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/88 | |
dc.description.abstract | In this paper, we consider the Gauss-Kronrod quadrature formulas for a modified Chebyshev weight. Efficient estimates of the error of these Gauss-Kronrod formulae for analytic functions are obtained, using techniques of contour integration that were introduced by Gautschi and Varga (cf. Gautschi and Varga SIAM J. Numer. Anal. 20, 1170-1186 1983). Some illustrative numerical examples which show both the accuracy of the Gauss-Kronrod formulas and the sharpness of our estimations are displayed. Though for the sake of brevity we restrict ourselves to the first kind Chebyshev weight, a similar analysis may be carried out for the other three Chebyshev type weights; part of the corresponding computations are included in a final appendix. | en |
dc.publisher | Springer, Dordrecht | |
dc.relation | CRUE-CSIC agreement | |
dc.relation | Springer Nature | |
dc.relation | info:eu-repo/grantAgreement/MESTD/inst-2020/200105/RS// | |
dc.relation | Spanish Ministerio de Ciencia, Innovacion y Universidades [MTM2015-71352-P] | |
dc.relation | Spanish Ministerio de Ciencia e Innovacion [PID2021-123367NB-100] | |
dc.rights | openAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Numerical Algorithms | |
dc.subject | Remainder term for analytic functions | en |
dc.subject | Gauss-Kronrod quadrature formulae | en |
dc.subject | Error bound | en |
dc.subject | Contour integral representation | en |
dc.subject | Chebyshev weight function | en |
dc.title | On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type | en |
dc.type | article | |
dc.rights.license | BY | |
dc.citation.rank | aM21 | |
dc.identifier.doi | 10.1007/s11075-022-01325-8 | |
dc.identifier.fulltext | http://machinery.mas.bg.ac.rs/bitstream/id/2717/85.pdf | |
dc.identifier.scopus | 2-s2.0-85131520358 | |
dc.identifier.wos | 000805732200001 | |
dc.type.version | publishedVersion |