On Gaussian rules for some modi ed Chebyshev weights
Abstract
In this paper, Gaussian rules for some modi ed Chebyshev weights introduced
by Gautschi and Li in 1993 are considered. Our main concern is providing
efficient estimations for the error of quadrature. Those estimations are checked
by means of some numerical examples.
Keywords:
Gauss quadrature formulae, Chebyshev weight functions, contour integral representation, remainder term for analytic functions, error bound / Gauss quadrature formulae / Chebyshev weight functions / contour integral representation / remainder term for analytic functions / error boundSource:
Proceedings Book of MICOPAM2018 conference, 2018, 58-61Publisher:
- Department of Mathematics, Faculty of Science, Akdeniz University,Turkey
Collections
Institution/Community
Mašinski fakultetTY - CONF AU - Orive, Ramon AU - Pejčev, Aleksandar AU - Spalević, Miodrag PY - 2018 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5339 AB - In this paper, Gaussian rules for some modi ed Chebyshev weights introduced by Gautschi and Li in 1993 are considered. Our main concern is providing efficient estimations for the error of quadrature. Those estimations are checked by means of some numerical examples. PB - Department of Mathematics, Faculty of Science, Akdeniz University,Turkey C3 - Proceedings Book of MICOPAM2018 conference T1 - On Gaussian rules for some modi ed Chebyshev weights EP - 61 SP - 58 UR - https://hdl.handle.net/21.15107/rcub_machinery_5339 ER -
@conference{ author = "Orive, Ramon and Pejčev, Aleksandar and Spalević, Miodrag", year = "2018", abstract = "In this paper, Gaussian rules for some modi ed Chebyshev weights introduced by Gautschi and Li in 1993 are considered. Our main concern is providing efficient estimations for the error of quadrature. Those estimations are checked by means of some numerical examples.", publisher = "Department of Mathematics, Faculty of Science, Akdeniz University,Turkey", journal = "Proceedings Book of MICOPAM2018 conference", title = "On Gaussian rules for some modi ed Chebyshev weights", pages = "61-58", url = "https://hdl.handle.net/21.15107/rcub_machinery_5339" }
Orive, R., Pejčev, A.,& Spalević, M.. (2018). On Gaussian rules for some modi ed Chebyshev weights. in Proceedings Book of MICOPAM2018 conference Department of Mathematics, Faculty of Science, Akdeniz University,Turkey., 58-61. https://hdl.handle.net/21.15107/rcub_machinery_5339
Orive R, Pejčev A, Spalević M. On Gaussian rules for some modi ed Chebyshev weights. in Proceedings Book of MICOPAM2018 conference. 2018;:58-61. https://hdl.handle.net/21.15107/rcub_machinery_5339 .
Orive, Ramon, Pejčev, Aleksandar, Spalević, Miodrag, "On Gaussian rules for some modi ed Chebyshev weights" in Proceedings Book of MICOPAM2018 conference (2018):58-61, https://hdl.handle.net/21.15107/rcub_machinery_5339 .