Error Bounds for Some Quadrature Rules With Maximal Trigonometric Degree of Exactness
Abstract
In this paper we give error estimates for quadrature rules with maximal trigonometric degree of exactness with respect to an even weight function on (-pi, pi) for integrand analytic in certain domain of complex plane.
Keywords:
trigonometric polynomial / trigonometric degree of exactness / quadrature rule of Gaussian type / error estimateSource:
Numerical Analysis and Applied Mathematics (Icnaam 2012), Vols A and B, 2012, 1479, 1042-1045Publisher:
- Amer Inst Physics, Melville
Funding / projects:
- Approximation of integral and differential operators and applications (RS-MESTD-Basic Research (BR or ON)-174015)
- Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)
DOI: 10.1063/1.4756324
ISSN: 0094-243X
WoS: 000310698100252
Scopus: 2-s2.0-84883071023
Collections
Institution/Community
Mašinski fakultetTY - CONF AU - Stanić, Marija P. AU - Cvetković, Aleksandar AU - Tomović, Tatjana V. PY - 2012 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1345 AB - In this paper we give error estimates for quadrature rules with maximal trigonometric degree of exactness with respect to an even weight function on (-pi, pi) for integrand analytic in certain domain of complex plane. PB - Amer Inst Physics, Melville C3 - Numerical Analysis and Applied Mathematics (Icnaam 2012), Vols A and B T1 - Error Bounds for Some Quadrature Rules With Maximal Trigonometric Degree of Exactness EP - 1045 SP - 1042 VL - 1479 DO - 10.1063/1.4756324 ER -
@conference{ author = "Stanić, Marija P. and Cvetković, Aleksandar and Tomović, Tatjana V.", year = "2012", abstract = "In this paper we give error estimates for quadrature rules with maximal trigonometric degree of exactness with respect to an even weight function on (-pi, pi) for integrand analytic in certain domain of complex plane.", publisher = "Amer Inst Physics, Melville", journal = "Numerical Analysis and Applied Mathematics (Icnaam 2012), Vols A and B", title = "Error Bounds for Some Quadrature Rules With Maximal Trigonometric Degree of Exactness", pages = "1045-1042", volume = "1479", doi = "10.1063/1.4756324" }
Stanić, M. P., Cvetković, A.,& Tomović, T. V.. (2012). Error Bounds for Some Quadrature Rules With Maximal Trigonometric Degree of Exactness. in Numerical Analysis and Applied Mathematics (Icnaam 2012), Vols A and B Amer Inst Physics, Melville., 1479, 1042-1045. https://doi.org/10.1063/1.4756324
Stanić MP, Cvetković A, Tomović TV. Error Bounds for Some Quadrature Rules With Maximal Trigonometric Degree of Exactness. in Numerical Analysis and Applied Mathematics (Icnaam 2012), Vols A and B. 2012;1479:1042-1045. doi:10.1063/1.4756324 .
Stanić, Marija P., Cvetković, Aleksandar, Tomović, Tatjana V., "Error Bounds for Some Quadrature Rules With Maximal Trigonometric Degree of Exactness" in Numerical Analysis and Applied Mathematics (Icnaam 2012), Vols A and B, 1479 (2012):1042-1045, https://doi.org/10.1063/1.4756324 . .