Generalized averaged gaussian formulas for certain weight functions
Abstract
In this paper we analyze the generalized averaged Gaussian quadrature formulas and the simplest truncated variant for one of them for some weight functions on the interval [0, 1] considered by Milovanovic in [10]. We shall investigate internality of these formulas for the equivalents of the Jacobi polynomials on this interval and, in some special cases, show the existence of the Gauss-Kronrod quadrature formula. We also include some examples showing the corresponding error estimates for some non-classical orthogonal polynomials.
Keywords:
truncations of averaged Gaussian formulas / Gauss-Kronrod quadrature / Gauss quadrature / averaged Gaussian formulasSource:
Kragujevac Journal of Mathematics, 2022, 46, 2, 295-305Publisher:
- Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac
Funding / projects:
- Methods of Numerical and Nonlinear Analysis with Applications (RS-MESTD-Basic Research (BR or ON)-174002)
DOI: 10.46793/KgJMat2202.295M
ISSN: 1450-9628
WoS: 000782637800009
Scopus: 2-s2.0-85129577900
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Mutavdžić Đukić, Rada PY - 2022 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3742 AB - In this paper we analyze the generalized averaged Gaussian quadrature formulas and the simplest truncated variant for one of them for some weight functions on the interval [0, 1] considered by Milovanovic in [10]. We shall investigate internality of these formulas for the equivalents of the Jacobi polynomials on this interval and, in some special cases, show the existence of the Gauss-Kronrod quadrature formula. We also include some examples showing the corresponding error estimates for some non-classical orthogonal polynomials. PB - Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac T2 - Kragujevac Journal of Mathematics T1 - Generalized averaged gaussian formulas for certain weight functions EP - 305 IS - 2 SP - 295 VL - 46 DO - 10.46793/KgJMat2202.295M ER -
@article{ author = "Mutavdžić Đukić, Rada", year = "2022", abstract = "In this paper we analyze the generalized averaged Gaussian quadrature formulas and the simplest truncated variant for one of them for some weight functions on the interval [0, 1] considered by Milovanovic in [10]. We shall investigate internality of these formulas for the equivalents of the Jacobi polynomials on this interval and, in some special cases, show the existence of the Gauss-Kronrod quadrature formula. We also include some examples showing the corresponding error estimates for some non-classical orthogonal polynomials.", publisher = "Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac", journal = "Kragujevac Journal of Mathematics", title = "Generalized averaged gaussian formulas for certain weight functions", pages = "305-295", number = "2", volume = "46", doi = "10.46793/KgJMat2202.295M" }
Mutavdžić Đukić, R.. (2022). Generalized averaged gaussian formulas for certain weight functions. in Kragujevac Journal of Mathematics Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac., 46(2), 295-305. https://doi.org/10.46793/KgJMat2202.295M
Mutavdžić Đukić R. Generalized averaged gaussian formulas for certain weight functions. in Kragujevac Journal of Mathematics. 2022;46(2):295-305. doi:10.46793/KgJMat2202.295M .
Mutavdžić Đukić, Rada, "Generalized averaged gaussian formulas for certain weight functions" in Kragujevac Journal of Mathematics, 46, no. 2 (2022):295-305, https://doi.org/10.46793/KgJMat2202.295M . .