A note on generalized averaged Gaussian formulas for a class of weight functions
Само за регистроване кориснике
2020
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
In the recent paper Notaris (Numer. Math., 142:129-147,2019) it has been introduced a new and useful class of nonnegative measures for which the well-known Gauss-Kronrod quadrature formulae coincide with the generalized averaged Gaussian quadrature formulas. In such a case, the given generalized averaged Gaussian quadrature formulas are of the higher degree of precision, and can be numerically constructed by an effective and simple method; see Spalevic (Math. Comp., 76:1483-1492,2007). Moreover, as almost immediate consequence of our results from Spalevic (Math. Comp.,76:1483-1492,2007) and that theory, we prove the main statements in Notaris (Numer. Math.,142:129-147,2019) in a different manner, by means of the Jacobi tridiagonal matrix approach.
Кључне речи:
Stieltjes polynomials / Gauss-Kronrod quadrature / Averaged Gaussian quadratureИзвор:
Numerical Algorithms, 2020, 85, 3, 977-993Издавач:
- Springer, Dordrecht
Финансирање / пројекти:
- Методе нумеричке и нелинеарне анализе са применама (RS-MESTD-Basic Research (BR or ON)-174002)
DOI: 10.1007/s11075-019-00848-x
ISSN: 1017-1398
WoS: 000574621100001
Scopus: 2-s2.0-85076132793
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Spalević, Miodrag PY - 2020 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3298 AB - In the recent paper Notaris (Numer. Math., 142:129-147,2019) it has been introduced a new and useful class of nonnegative measures for which the well-known Gauss-Kronrod quadrature formulae coincide with the generalized averaged Gaussian quadrature formulas. In such a case, the given generalized averaged Gaussian quadrature formulas are of the higher degree of precision, and can be numerically constructed by an effective and simple method; see Spalevic (Math. Comp., 76:1483-1492,2007). Moreover, as almost immediate consequence of our results from Spalevic (Math. Comp.,76:1483-1492,2007) and that theory, we prove the main statements in Notaris (Numer. Math.,142:129-147,2019) in a different manner, by means of the Jacobi tridiagonal matrix approach. PB - Springer, Dordrecht T2 - Numerical Algorithms T1 - A note on generalized averaged Gaussian formulas for a class of weight functions EP - 993 IS - 3 SP - 977 VL - 85 DO - 10.1007/s11075-019-00848-x ER -
@article{ author = "Spalević, Miodrag", year = "2020", abstract = "In the recent paper Notaris (Numer. Math., 142:129-147,2019) it has been introduced a new and useful class of nonnegative measures for which the well-known Gauss-Kronrod quadrature formulae coincide with the generalized averaged Gaussian quadrature formulas. In such a case, the given generalized averaged Gaussian quadrature formulas are of the higher degree of precision, and can be numerically constructed by an effective and simple method; see Spalevic (Math. Comp., 76:1483-1492,2007). Moreover, as almost immediate consequence of our results from Spalevic (Math. Comp.,76:1483-1492,2007) and that theory, we prove the main statements in Notaris (Numer. Math.,142:129-147,2019) in a different manner, by means of the Jacobi tridiagonal matrix approach.", publisher = "Springer, Dordrecht", journal = "Numerical Algorithms", title = "A note on generalized averaged Gaussian formulas for a class of weight functions", pages = "993-977", number = "3", volume = "85", doi = "10.1007/s11075-019-00848-x" }
Spalević, M.. (2020). A note on generalized averaged Gaussian formulas for a class of weight functions. in Numerical Algorithms Springer, Dordrecht., 85(3), 977-993. https://doi.org/10.1007/s11075-019-00848-x
Spalević M. A note on generalized averaged Gaussian formulas for a class of weight functions. in Numerical Algorithms. 2020;85(3):977-993. doi:10.1007/s11075-019-00848-x .
Spalević, Miodrag, "A note on generalized averaged Gaussian formulas for a class of weight functions" in Numerical Algorithms, 85, no. 3 (2020):977-993, https://doi.org/10.1007/s11075-019-00848-x . .