Internality of generalized averaged gauss rules and their truncations for bernstein-szego weights
Apstrakt
Generalized averaged Gauss quadrature formulas may have nodes outside the interval of integration. Quadrature rules with nodes outside the interval of integration cannot be applied to approximate integrals with an integrand that is defined on the interval of integration only. This paper investigates when generalized averaged Gauss quadrature rules for Bernstein-Szego weight functions have all nodes in the interval of integration. Also truncated variants of these quadrature rules are considered. The relation between generalized averaged Gauss quadrature formulas and Gauss-Kronrod rules is explored.
Ključne reči:
truncated generalized averaged Gauss quadrature / internality of quadrature rule / Gauss quadrature / averaged Gauss quadratureIzvor:
Electronic Transactions on Numerical Analysis, 2016, 45, 405-419Izdavač:
- Kent State University
Finansiranje / projekti:
- Metode numeričke i nelinearne analize sa primenama (RS-MESTD-Basic Research (BR or ON)-174002)
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Đukić, Dušan AU - Reichel, Lothar AU - Spalević, Miodrag AU - Tomanović, Jelena PY - 2016 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2320 AB - Generalized averaged Gauss quadrature formulas may have nodes outside the interval of integration. Quadrature rules with nodes outside the interval of integration cannot be applied to approximate integrals with an integrand that is defined on the interval of integration only. This paper investigates when generalized averaged Gauss quadrature rules for Bernstein-Szego weight functions have all nodes in the interval of integration. Also truncated variants of these quadrature rules are considered. The relation between generalized averaged Gauss quadrature formulas and Gauss-Kronrod rules is explored. PB - Kent State University T2 - Electronic Transactions on Numerical Analysis T1 - Internality of generalized averaged gauss rules and their truncations for bernstein-szego weights EP - 419 SP - 405 VL - 45 UR - https://hdl.handle.net/21.15107/rcub_machinery_2320 ER -
@article{ author = "Đukić, Dušan and Reichel, Lothar and Spalević, Miodrag and Tomanović, Jelena", year = "2016", abstract = "Generalized averaged Gauss quadrature formulas may have nodes outside the interval of integration. Quadrature rules with nodes outside the interval of integration cannot be applied to approximate integrals with an integrand that is defined on the interval of integration only. This paper investigates when generalized averaged Gauss quadrature rules for Bernstein-Szego weight functions have all nodes in the interval of integration. Also truncated variants of these quadrature rules are considered. The relation between generalized averaged Gauss quadrature formulas and Gauss-Kronrod rules is explored.", publisher = "Kent State University", journal = "Electronic Transactions on Numerical Analysis", title = "Internality of generalized averaged gauss rules and their truncations for bernstein-szego weights", pages = "419-405", volume = "45", url = "https://hdl.handle.net/21.15107/rcub_machinery_2320" }
Đukić, D., Reichel, L., Spalević, M.,& Tomanović, J.. (2016). Internality of generalized averaged gauss rules and their truncations for bernstein-szego weights. in Electronic Transactions on Numerical Analysis Kent State University., 45, 405-419. https://hdl.handle.net/21.15107/rcub_machinery_2320
Đukić D, Reichel L, Spalević M, Tomanović J. Internality of generalized averaged gauss rules and their truncations for bernstein-szego weights. in Electronic Transactions on Numerical Analysis. 2016;45:405-419. https://hdl.handle.net/21.15107/rcub_machinery_2320 .
Đukić, Dušan, Reichel, Lothar, Spalević, Miodrag, Tomanović, Jelena, "Internality of generalized averaged gauss rules and their truncations for bernstein-szego weights" in Electronic Transactions on Numerical Analysis, 45 (2016):405-419, https://hdl.handle.net/21.15107/rcub_machinery_2320 .