Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials
Само за регистроване кориснике
2019
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
Generalized averaged Gaussian quadrature rules and truncated variants associated with a nonnegative measure with support on a real open interval {t : a lt t lt b} may have nodes outside this interval, in other words the rules may fail to be internal. Such rules cannot be applied when the integrand is defined on {t : a lt t lt b} only. This paper investigates whether generalized averaged Gaussian quadrature rules and truncated variants are internal for measures induced by Chebyshev polynomials. Our results complement those of Notaris [13] for Gauss-Kronrod quadrature formulas for the same kind of measures.
Кључне речи:
Truncated generalized averaged Gauss quadrature / Measures induced by Chebyshev polynomials / Internality of quadrature / Gauss quadrature / Averaged Gauss quadratureИзвор:
Applied Numerical Mathematics, 2019, 142, 190-205Издавач:
- Elsevier Science Bv, Amsterdam
Финансирање / пројекти:
- Методе нумеричке и нелинеарне анализе са применама (RS-MESTD-Basic Research (BR or ON)-174002)
- NSF grant DMS-1720259
- NSF grant DMS-1729509
DOI: 10.1016/j.apnum.2019.03.008
ISSN: 0168-9274
WoS: 000467670800012
Scopus: 2-s2.0-85063645547
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Đukić, Dušan AU - Reichel, Lothar AU - Spalević, Miodrag PY - 2019 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3017 AB - Generalized averaged Gaussian quadrature rules and truncated variants associated with a nonnegative measure with support on a real open interval {t : a lt t lt b} may have nodes outside this interval, in other words the rules may fail to be internal. Such rules cannot be applied when the integrand is defined on {t : a lt t lt b} only. This paper investigates whether generalized averaged Gaussian quadrature rules and truncated variants are internal for measures induced by Chebyshev polynomials. Our results complement those of Notaris [13] for Gauss-Kronrod quadrature formulas for the same kind of measures. PB - Elsevier Science Bv, Amsterdam T2 - Applied Numerical Mathematics T1 - Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials EP - 205 SP - 190 VL - 142 DO - 10.1016/j.apnum.2019.03.008 ER -
@article{ author = "Đukić, Dušan and Reichel, Lothar and Spalević, Miodrag", year = "2019", abstract = "Generalized averaged Gaussian quadrature rules and truncated variants associated with a nonnegative measure with support on a real open interval {t : a lt t lt b} may have nodes outside this interval, in other words the rules may fail to be internal. Such rules cannot be applied when the integrand is defined on {t : a lt t lt b} only. This paper investigates whether generalized averaged Gaussian quadrature rules and truncated variants are internal for measures induced by Chebyshev polynomials. Our results complement those of Notaris [13] for Gauss-Kronrod quadrature formulas for the same kind of measures.", publisher = "Elsevier Science Bv, Amsterdam", journal = "Applied Numerical Mathematics", title = "Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials", pages = "205-190", volume = "142", doi = "10.1016/j.apnum.2019.03.008" }
Đukić, D., Reichel, L.,& Spalević, M.. (2019). Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials. in Applied Numerical Mathematics Elsevier Science Bv, Amsterdam., 142, 190-205. https://doi.org/10.1016/j.apnum.2019.03.008
Đukić D, Reichel L, Spalević M. Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials. in Applied Numerical Mathematics. 2019;142:190-205. doi:10.1016/j.apnum.2019.03.008 .
Đukić, Dušan, Reichel, Lothar, Spalević, Miodrag, "Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials" in Applied Numerical Mathematics, 142 (2019):190-205, https://doi.org/10.1016/j.apnum.2019.03.008 . .
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