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A generalized Birkhoff-Young-Chebyshev quadrature formula for analytic functions |
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| Authors: | Gradimir V. Milovanovi? Aleksandar S. Cvetkovi? |
| Affiliation: | a Faculty of Computer Sciences, Megatrend University, Bulevar Umetnosti 29, 11070 Novi Beograd, Serbia b Department of Mathematics, Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia c Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, P.O. Box 60, 34000 Kragujevac, Serbia |
| Abstract: | A generalized N-point Birkhoff-Young quadrature of interpolatory type, with the Chebyshev weight, for numerical integration of analytic functions is considered. The nodes of such a quadrature are characterized by an orthogonality relation. Some special cases of this quadrature formula are derived. |
| Keywords: | Quadrature formula Error term Chebyshev polynomial Orthogonality Analytic function |
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