Error bound of certain Gaussian quadrature rules for trigonometric polynomials
Апстракт
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.
Кључне речи:
trigonometric degree of exactness / Gaussian quadrature rule / error bound / analytic functionИзвор:
Kragujevac Journal of Mathematics, 2012, 36, 1, 63-72Издавач:
- Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac
Финансирање / пројекти:
- Апроксимација интегралних и диференцијалних оператора и примене (RS-MESTD-Basic Research (BR or ON)-174015)
- Развој нових информационо-комуникационих технологија, коришћењем напредних математичких метода, са применама у медицини, телекомуникацијама, енергетици, заштитити националне баштине и образовању (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)
Колекције
Институција/група
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 .