Error bound of certain Gaussian quadrature rules for trigonometric polynomials
Apstrakt
In this paper we give error bound for quadrature rules of Gaussian type for trigonometric polynomials with respect to the weight function w(x) = 1+cos x, x ∈ (−π, π), for 2π -periodic integrand, analytic in a circular domain. Obtained theoretical bound is checked and illustrated on some numerical examples.
Ključne reči:
trigonometric degree of exactness / Gaussian quadrature rule / error bound / analytic functionIzvor:
Kragujevac Journal of Mathematics, 2012, 36, 1, 63-72Izdavač:
- Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac
Finansiranje / projekti:
- Aproksimacija integralnih i diferencijalnih operatora i primene (RS-MESTD-Basic Research (BR or ON)-174015)
- Razvoj novih informaciono-komunikacionih tehnologija, korišćenjem naprednih matematičkih metoda, sa primenama u medicini, telekomunikacijama, energetici, zaštititi nacionalne baštine i obrazovanju (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Stanić, Marija P. AU - Cvetković, Aleksandar AU - Tomović, Tatjana V. PY - 2012 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1484 AB - In this paper we give error bound for quadrature rules of Gaussian type for trigonometric polynomials with respect to the weight function w(x) = 1+cos x, x ∈ (−π, π), for 2π -periodic integrand, analytic in a circular domain. Obtained theoretical bound is checked and illustrated on some numerical examples. PB - Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac T2 - Kragujevac Journal of Mathematics T1 - Error bound of certain Gaussian quadrature rules for trigonometric polynomials EP - 72 IS - 1 SP - 63 VL - 36 UR - https://hdl.handle.net/21.15107/rcub_machinery_1484 ER -
@article{ author = "Stanić, Marija P. and Cvetković, Aleksandar and Tomović, Tatjana V.", year = "2012", abstract = "In this paper we give error bound for quadrature rules of Gaussian type for trigonometric polynomials with respect to the weight function w(x) = 1+cos x, x ∈ (−π, π), for 2π -periodic integrand, analytic in a circular domain. Obtained theoretical bound is checked and illustrated on some numerical examples.", publisher = "Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac", journal = "Kragujevac Journal of Mathematics", title = "Error bound of certain Gaussian quadrature rules for trigonometric polynomials", pages = "72-63", number = "1", volume = "36", url = "https://hdl.handle.net/21.15107/rcub_machinery_1484" }
Stanić, M. P., Cvetković, A.,& Tomović, T. V.. (2012). Error bound of certain Gaussian quadrature rules for trigonometric polynomials. in Kragujevac Journal of Mathematics Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac., 36(1), 63-72. https://hdl.handle.net/21.15107/rcub_machinery_1484
Stanić MP, Cvetković A, Tomović TV. Error bound of certain Gaussian quadrature rules for trigonometric polynomials. in Kragujevac Journal of Mathematics. 2012;36(1):63-72. https://hdl.handle.net/21.15107/rcub_machinery_1484 .
Stanić, Marija P., Cvetković, Aleksandar, Tomović, Tatjana V., "Error bound of certain Gaussian quadrature rules for trigonometric polynomials" in Kragujevac Journal of Mathematics, 36, no. 1 (2012):63-72, https://hdl.handle.net/21.15107/rcub_machinery_1484 .