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Error estimates for quadrature rules with maximal even trigonometric degree of exactness

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Aims and scope Submit manuscript

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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Authors and Affiliations

  1. Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Radoja Domanovića 12, 34000 , Kragujevac, Serbia

    Marija P. Stanić & Tatjana V. Tomović

  2. Department of Mathematics and Informatics, Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 , Belgrade, Serbia

    Aleksandar S. Cvetković

Authors
  1. Marija P. Stanić
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  2. Aleksandar S. Cvetković
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  3. Tatjana V. Tomović
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Corresponding author

Correspondence to Aleksandar S. Cvetković.

Additional information

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

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Mathematics Subject Classification (2000)

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