Error estimates for Gaussian quadrature formulae of analytic functions for various weight functions
Apstrakt
We studied the error bound of Gaussian quadrature for analytic functions. The basic idea is to express the remainder of Gaussian quadrature as a contour integral, then the error bound is reduced to find the maximum of the kernel function.
Ključne reči:
Gauss quadrature formulae / Orthogonal polynomials / Remainder term for analytic function / Error boundIzvor:
ICOLES 2023, 2023Kolekcije
Institucija/grupa
Mašinski fakultetTY - CONF AU - Jandrlić, Davorka AU - Pejčev, Aleksandar AU - Miodrag, Spalević PY - 2023 UR - https://icoles.net/ UR - https://machinery.mas.bg.ac.rs/handle/123456789/7340 AB - We studied the error bound of Gaussian quadrature for analytic functions. The basic idea is to express the remainder of Gaussian quadrature as a contour integral, then the error bound is reduced to find the maximum of the kernel function. C3 - ICOLES 2023 T1 - Error estimates for Gaussian quadrature formulae of analytic functions for various weight functions UR - https://hdl.handle.net/21.15107/rcub_machinery_7340 ER -
@conference{ author = "Jandrlić, Davorka and Pejčev, Aleksandar and Miodrag, Spalević", year = "2023", abstract = "We studied the error bound of Gaussian quadrature for analytic functions. The basic idea is to express the remainder of Gaussian quadrature as a contour integral, then the error bound is reduced to find the maximum of the kernel function.", journal = "ICOLES 2023", title = "Error estimates for Gaussian quadrature formulae of analytic functions for various weight functions", url = "https://hdl.handle.net/21.15107/rcub_machinery_7340" }
Jandrlić, D., Pejčev, A.,& Miodrag, S.. (2023). Error estimates for Gaussian quadrature formulae of analytic functions for various weight functions. in ICOLES 2023. https://hdl.handle.net/21.15107/rcub_machinery_7340
Jandrlić D, Pejčev A, Miodrag S. Error estimates for Gaussian quadrature formulae of analytic functions for various weight functions. in ICOLES 2023. 2023;. https://hdl.handle.net/21.15107/rcub_machinery_7340 .
Jandrlić, Davorka, Pejčev, Aleksandar, Miodrag, Spalević, "Error estimates for Gaussian quadrature formulae of analytic functions for various weight functions" in ICOLES 2023 (2023), https://hdl.handle.net/21.15107/rcub_machinery_7340 .