Abstract
In this paper an error estimate for quadrature rules with an even maximal trigonometric degree of exactness (with an odd number of nodes) for \(2\pi -\)periodic integrand, analytic in a circular domain, is given. Theoretical estimate is illustrated by numerical example.
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The authors were supported in part by the Serbian Ministry of Education and Science (Projects #174015 and III44006).
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Stanić, M.P., Cvetković, A.S. & Tomović, T.V. Error estimates for quadrature rules with maximal even trigonometric degree of exactness. RACSAM 108, 603–615 (2014). https://doi.org/10.1007/s13398-013-0129-3
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DOI: https://doi.org/10.1007/s13398-013-0129-3
Keywords
- Trigonometric polynomial
- Semi-integer degree
- Orthogonality
- Quadrature rule
- Analytic function
- Error estimate