Quadrature Formulas with Multiple Nodes for Fourier Coeffcients
Апстракт
Gaussian quadrature formulas with multiple nodes and their optimal extensions
for computing the Fourier coe cients, in expansions of functions with
respect to a given system of orthogonal polynomials, are considered. A numerically
stable construction of these quadratures is proposed. Error bounds for
these quadrature formulas are derived. We present a survey of recent results on
this topic.
Кључне речи:
Gaussian quadrature formulas with multiple nodes / Fourier coeffcients / error boundИзвор:
Proceedings Book of MICOPAM2018 conference, 2018, 53-57Издавач:
- Department of Mathematics, Faculty of Science, Akdeniz University,Turkey
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Spalević, Miodrag PY - 2018 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5197 AB - Gaussian quadrature formulas with multiple nodes and their optimal extensions for computing the Fourier coe cients, in expansions of functions with respect to a given system of orthogonal polynomials, are considered. A numerically stable construction of these quadratures is proposed. Error bounds for these quadrature formulas are derived. We present a survey of recent results on this topic. PB - Department of Mathematics, Faculty of Science, Akdeniz University,Turkey C3 - Proceedings Book of MICOPAM2018 conference T1 - Quadrature Formulas with Multiple Nodes for Fourier Coeffcients EP - 57 SP - 53 UR - https://hdl.handle.net/21.15107/rcub_machinery_5197 ER -
@conference{ author = "Spalević, Miodrag", year = "2018", abstract = "Gaussian quadrature formulas with multiple nodes and their optimal extensions for computing the Fourier coe cients, in expansions of functions with respect to a given system of orthogonal polynomials, are considered. A numerically stable construction of these quadratures is proposed. Error bounds for these quadrature formulas are derived. We present a survey of recent results on this topic.", publisher = "Department of Mathematics, Faculty of Science, Akdeniz University,Turkey", journal = "Proceedings Book of MICOPAM2018 conference", title = "Quadrature Formulas with Multiple Nodes for Fourier Coeffcients", pages = "57-53", url = "https://hdl.handle.net/21.15107/rcub_machinery_5197" }
Spalević, M.. (2018). Quadrature Formulas with Multiple Nodes for Fourier Coeffcients. in Proceedings Book of MICOPAM2018 conference Department of Mathematics, Faculty of Science, Akdeniz University,Turkey., 53-57. https://hdl.handle.net/21.15107/rcub_machinery_5197
Spalević M. Quadrature Formulas with Multiple Nodes for Fourier Coeffcients. in Proceedings Book of MICOPAM2018 conference. 2018;:53-57. https://hdl.handle.net/21.15107/rcub_machinery_5197 .
Spalević, Miodrag, "Quadrature Formulas with Multiple Nodes for Fourier Coeffcients" in Proceedings Book of MICOPAM2018 conference (2018):53-57, https://hdl.handle.net/21.15107/rcub_machinery_5197 .