Error estimates for quadrature rules with maximal even trigonometric degree of exactness
Abstract
In this paper an error estimate for quadrature rules with an even maximal trigonometric degree of exactness (with an odd number of nodes) for periodic integrand, analytic in a circular domain, is given. Theoretical estimate is illustrated by numerical example.
Keywords:
Trigonometric polynomial / Semi-integer degree / Quadrature rule / Orthogonality / Error estimate / Analytic functionSource:
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas, 2014, 108, 2, 603-615Publisher:
- Springer-Verlag Italia Srl, Milan
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: 10.1007/s13398-013-0129-3
ISSN: 1578-7303
WoS: 000340875100022
Scopus: 2-s2.0-84906693577
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Stanić, Marija P. AU - Cvetković, Aleksandar AU - Tomović, Tatjana V. PY - 2014 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1879 AB - In this paper an error estimate for quadrature rules with an even maximal trigonometric degree of exactness (with an odd number of nodes) for periodic integrand, analytic in a circular domain, is given. Theoretical estimate is illustrated by numerical example. PB - Springer-Verlag Italia Srl, Milan T2 - Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas T1 - Error estimates for quadrature rules with maximal even trigonometric degree of exactness EP - 615 IS - 2 SP - 603 VL - 108 DO - 10.1007/s13398-013-0129-3 ER -
@article{ author = "Stanić, Marija P. and Cvetković, Aleksandar and Tomović, Tatjana V.", year = "2014", abstract = "In this paper an error estimate for quadrature rules with an even maximal trigonometric degree of exactness (with an odd number of nodes) for periodic integrand, analytic in a circular domain, is given. Theoretical estimate is illustrated by numerical example.", publisher = "Springer-Verlag Italia Srl, Milan", journal = "Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas", title = "Error estimates for quadrature rules with maximal even trigonometric degree of exactness", pages = "615-603", number = "2", volume = "108", doi = "10.1007/s13398-013-0129-3" }
Stanić, M. P., Cvetković, A.,& Tomović, T. V.. (2014). Error estimates for quadrature rules with maximal even trigonometric degree of exactness. in Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Springer-Verlag Italia Srl, Milan., 108(2), 603-615. https://doi.org/10.1007/s13398-013-0129-3
Stanić MP, Cvetković A, Tomović TV. Error estimates for quadrature rules with maximal even trigonometric degree of exactness. in Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas. 2014;108(2):603-615. doi:10.1007/s13398-013-0129-3 .
Stanić, Marija P., Cvetković, Aleksandar, Tomović, Tatjana V., "Error estimates for quadrature rules with maximal even trigonometric degree of exactness" in Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas, 108, no. 2 (2014):603-615, https://doi.org/10.1007/s13398-013-0129-3 . .