Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ERROR HOUNDS OF TRAPEZOIDAL RULE

  • Meehyea Yang (Department of Mathematics, University of Incheon) ;
  • Hong, Bum-Il (Department of Mathematics and Institute of Natural Sciences, Kyung Hee University) ;
  • Yang, Hyun-Suk (School of Electronic and Electrical Engineering, Hongik University)
  • Published : 2003.09.01

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Abstract

In [2], if ${\gamma}$ $\leq$ 2, the average error of the composite Trapezoidal rule on two consecutive intervals turned out to be proportional to h$\^$2r+3/ where ${\gamma}$ is the number of differentiablity and h is the length of each uniform subinterval of the interval [0, 1] In this paper, we show that if ${\gamma}$ $\geq$ 3, the average error of the composite Trapezoidal rule on two consecutive intervals is bounded by Ch$\^$8/.

Keywords

References

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