ERROR ESTIMATES OF GAUSS-TURAN QUADRATURES
Апстракт
A survey of our recent results on the error of Gauss-Tur´an quadrature
formulae for functions which are analytic on a neighborhood of the set of
integration is given. In particular, a computable upper bound of the error
is presented which is valid for arbitrary weight functions. A comparison is
made with the exact error and number of numerical examples, for arbitrary
weight functions, are given which show the advantages of using such rules
as well as the sharpness of the error bound. Asymptotic error estimates
when the number of nodes in the quadrature increases are presented. A
couple of numerical examples are included.
Извор:
4th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS, Trebinje, 06-07 June 2014, 2014, 58-58Издавач:
- University of East Sarajevo Mathematical Society of the Republic of Srpska
Институција/група
Mašinski fakultetTY - CONF AU - Spalević, Miodrag PY - 2014 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5136 AB - A survey of our recent results on the error of Gauss-Tur´an quadrature formulae for functions which are analytic on a neighborhood of the set of integration is given. In particular, a computable upper bound of the error is presented which is valid for arbitrary weight functions. A comparison is made with the exact error and number of numerical examples, for arbitrary weight functions, are given which show the advantages of using such rules as well as the sharpness of the error bound. Asymptotic error estimates when the number of nodes in the quadrature increases are presented. A couple of numerical examples are included. PB - University of East Sarajevo Mathematical Society of the Republic of Srpska C3 - 4th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS, Trebinje, 06-07 June 2014 T1 - ERROR ESTIMATES OF GAUSS-TURAN QUADRATURES EP - 58 SP - 58 UR - https://hdl.handle.net/21.15107/rcub_machinery_5136 ER -
@conference{ author = "Spalević, Miodrag", year = "2014", abstract = "A survey of our recent results on the error of Gauss-Tur´an quadrature formulae for functions which are analytic on a neighborhood of the set of integration is given. In particular, a computable upper bound of the error is presented which is valid for arbitrary weight functions. A comparison is made with the exact error and number of numerical examples, for arbitrary weight functions, are given which show the advantages of using such rules as well as the sharpness of the error bound. Asymptotic error estimates when the number of nodes in the quadrature increases are presented. A couple of numerical examples are included.", publisher = "University of East Sarajevo Mathematical Society of the Republic of Srpska", journal = "4th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS, Trebinje, 06-07 June 2014", title = "ERROR ESTIMATES OF GAUSS-TURAN QUADRATURES", pages = "58-58", url = "https://hdl.handle.net/21.15107/rcub_machinery_5136" }
Spalević, M.. (2014). ERROR ESTIMATES OF GAUSS-TURAN QUADRATURES. in 4th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS, Trebinje, 06-07 June 2014 University of East Sarajevo Mathematical Society of the Republic of Srpska., 58-58. https://hdl.handle.net/21.15107/rcub_machinery_5136
Spalević M. ERROR ESTIMATES OF GAUSS-TURAN QUADRATURES. in 4th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS, Trebinje, 06-07 June 2014. 2014;:58-58. https://hdl.handle.net/21.15107/rcub_machinery_5136 .
Spalević, Miodrag, "ERROR ESTIMATES OF GAUSS-TURAN QUADRATURES" in 4th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS, Trebinje, 06-07 June 2014 (2014):58-58, https://hdl.handle.net/21.15107/rcub_machinery_5136 .