Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree
Само за регистроване кориснике
2012
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
Orthogonal systems of trigonometric polynomials of semi-integer degree with respect to a weight function w(x) on (0, 2 pi) have been considered firstly by Turetzkii [A.H. Turetzkii, On quadrature formulae that are exact for trigonometric polynomials, East J. Approx. 11 (2005) 337-359 (translation in English from Uchenye Zapiski, Vypusk 1(149), Seria Math. Theory of Functions, Collection of papers, Izdatel'stvo Belgosuniversiteta imeni V.I. Lenina, Minsk, (1959) pp. 31-54)]. Such orthogonal systems are connected with quadrature rules with an even maximal trigonometric degree of exactness (with an odd number of nodes), which have application in numerical integration of 2 pi-periodic functions. In this paper we study asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree with respect to a strictly positive weight function satisfying the Lipschitz-Dini condition.
Кључне речи:
Trigonometric polynomials / Semi-integer degree / Orthogonality / Asymptotic behaviorИзвор:
Applied Mathematics and Computation, 2012, 218, 23, 11528-11533Издавач:
- Elsevier Science Inc, New York
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)
DOI: 10.1016/j.amc.2012.04.082
ISSN: 0096-3003
WoS: 000306106300019
Scopus: 2-s2.0-84863333347
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Cvetković, Aleksandar AU - Stanić, Marija P. AU - Marjanović, Zvezdan M. AU - Tomović, Tatjana V. PY - 2012 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1500 AB - Orthogonal systems of trigonometric polynomials of semi-integer degree with respect to a weight function w(x) on (0, 2 pi) have been considered firstly by Turetzkii [A.H. Turetzkii, On quadrature formulae that are exact for trigonometric polynomials, East J. Approx. 11 (2005) 337-359 (translation in English from Uchenye Zapiski, Vypusk 1(149), Seria Math. Theory of Functions, Collection of papers, Izdatel'stvo Belgosuniversiteta imeni V.I. Lenina, Minsk, (1959) pp. 31-54)]. Such orthogonal systems are connected with quadrature rules with an even maximal trigonometric degree of exactness (with an odd number of nodes), which have application in numerical integration of 2 pi-periodic functions. In this paper we study asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree with respect to a strictly positive weight function satisfying the Lipschitz-Dini condition. PB - Elsevier Science Inc, New York T2 - Applied Mathematics and Computation T1 - Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree EP - 11533 IS - 23 SP - 11528 VL - 218 DO - 10.1016/j.amc.2012.04.082 ER -
@article{ author = "Cvetković, Aleksandar and Stanić, Marija P. and Marjanović, Zvezdan M. and Tomović, Tatjana V.", year = "2012", abstract = "Orthogonal systems of trigonometric polynomials of semi-integer degree with respect to a weight function w(x) on (0, 2 pi) have been considered firstly by Turetzkii [A.H. Turetzkii, On quadrature formulae that are exact for trigonometric polynomials, East J. Approx. 11 (2005) 337-359 (translation in English from Uchenye Zapiski, Vypusk 1(149), Seria Math. Theory of Functions, Collection of papers, Izdatel'stvo Belgosuniversiteta imeni V.I. Lenina, Minsk, (1959) pp. 31-54)]. Such orthogonal systems are connected with quadrature rules with an even maximal trigonometric degree of exactness (with an odd number of nodes), which have application in numerical integration of 2 pi-periodic functions. In this paper we study asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree with respect to a strictly positive weight function satisfying the Lipschitz-Dini condition.", publisher = "Elsevier Science Inc, New York", journal = "Applied Mathematics and Computation", title = "Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree", pages = "11533-11528", number = "23", volume = "218", doi = "10.1016/j.amc.2012.04.082" }
Cvetković, A., Stanić, M. P., Marjanović, Z. M.,& Tomović, T. V.. (2012). Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree. in Applied Mathematics and Computation Elsevier Science Inc, New York., 218(23), 11528-11533. https://doi.org/10.1016/j.amc.2012.04.082
Cvetković A, Stanić MP, Marjanović ZM, Tomović TV. Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree. in Applied Mathematics and Computation. 2012;218(23):11528-11533. doi:10.1016/j.amc.2012.04.082 .
Cvetković, Aleksandar, Stanić, Marija P., Marjanović, Zvezdan M., Tomović, Tatjana V., "Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree" in Applied Mathematics and Computation, 218, no. 23 (2012):11528-11533, https://doi.org/10.1016/j.amc.2012.04.082 . .