Error estimates for quadrature rules with maximal even trigonometric degree of exactness
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2014
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Metapodaci
Prikaz svih podataka o dokumentuApstrakt
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.
Ključne reči:
Trigonometric polynomial / Semi-integer degree / Quadrature rule / Orthogonality / Error estimate / Analytic functionIzvor:
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas, 2014, 108, 2, 603-615Izdavač:
- Springer-Verlag Italia Srl, Milan
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)
DOI: 10.1007/s13398-013-0129-3
ISSN: 1578-7303
WoS: 000340875100022
Scopus: 2-s2.0-84906693577
Kolekcije
Institucija/grupa
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 . .