Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A STUDY ON THE AVERAGE CASE ERROR OF COMPOSITE NEWTON-COTES QUADRATURES

  • Park, Sung-Hee (Faculty of Computer and Information Sciences, Sun Moon University) ;
  • Park, Jung-Ho (Faculty of Computer and Information Sciences, Sun Moon University) ;
  • Park, Yoon-Young (Faculty of Computer and Information Sciences, Sun Moon University)
  • Published : 2003.05.01

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Abstract

We study the integration problem in which one wants to compute the approximation to the definite integral in the average case setting. We choose the composite Newton- Cotes quadratures as our algorithm and the function values at equally spaced sample points on the given interval［0, 1］as information. We compute the average case error of composite Newton-Cotes quadratures and show that it is minimal (modulo a multi-plicative constant).

Keywords

References

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