Error bounds of certain Gaussian quadrature formulae
Апстракт
We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein-Szego weight functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective error bounds of the corresponding Gauss quadratures.
Кључне речи:
Remainder term / Kernel / Gauss quadrature / Error bound / Elliptic contour / Analytic functionИзвор:
Journal of Computational and Applied Mathematics, 2010, 234, 4, 1049-1057Издавач:
- Elsevier Science Bv, Amsterdam
Финансирање / пројекти:
- Апроксимација линеарних оператора (RS-MESTD-MPN2006-2010-144005)
DOI: 10.1016/j.cam.2009.04.004
ISSN: 0377-0427
WoS: 000278172200011
Scopus: 2-s2.0-77950370014
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Spalević, Miodrag AU - Pranić, Miroslav S. PY - 2010 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1075 AB - We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein-Szego weight functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective error bounds of the corresponding Gauss quadratures. PB - Elsevier Science Bv, Amsterdam T2 - Journal of Computational and Applied Mathematics T1 - Error bounds of certain Gaussian quadrature formulae EP - 1057 IS - 4 SP - 1049 VL - 234 DO - 10.1016/j.cam.2009.04.004 ER -
@article{ author = "Spalević, Miodrag and Pranić, Miroslav S.", year = "2010", abstract = "We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein-Szego weight functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective error bounds of the corresponding Gauss quadratures.", publisher = "Elsevier Science Bv, Amsterdam", journal = "Journal of Computational and Applied Mathematics", title = "Error bounds of certain Gaussian quadrature formulae", pages = "1057-1049", number = "4", volume = "234", doi = "10.1016/j.cam.2009.04.004" }
Spalević, M.,& Pranić, M. S.. (2010). Error bounds of certain Gaussian quadrature formulae. in Journal of Computational and Applied Mathematics Elsevier Science Bv, Amsterdam., 234(4), 1049-1057. https://doi.org/10.1016/j.cam.2009.04.004
Spalević M, Pranić MS. Error bounds of certain Gaussian quadrature formulae. in Journal of Computational and Applied Mathematics. 2010;234(4):1049-1057. doi:10.1016/j.cam.2009.04.004 .
Spalević, Miodrag, Pranić, Miroslav S., "Error bounds of certain Gaussian quadrature formulae" in Journal of Computational and Applied Mathematics, 234, no. 4 (2010):1049-1057, https://doi.org/10.1016/j.cam.2009.04.004 . .