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Error bounds of certain Gaussian quadrature formulae |
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| Authors: | Miodrag M Spalevi? Miroslav S Prani? |
| Institution: | a Department of Mathematics, University of Beograd, Faculty of Mechanical Engineering, Kraljice Marije 16, 11120 Belgrade 35, Serbia b Department of Mathematics and Informatics, University of Banja Luka, Faculty of Science, M. Stojanovi?a 2, 51000 Banja Luka, Bosnia and Herzegovina |
| Abstract: | We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein-Szegö 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. |
| Keywords: | primary 41A55 secondary 65D30 65D32 |
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