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http://dx.doi.org/10.5831/HMJ.2014.36.2.291

ON A STUDY OF ERROR BOUNDS OF TRAPEZOIDAL RULE

Hahm, Nahmwoo (Department of Mathematics, Incheon National University)
Hong, Bum Il (Department of Applied Mathematics, Kyung Hee University)

Publication Information

Honam Mathematical Journal / v.36, no.2, 2014 , pp. 291-303 More about this Journal

Abstract

In this paper, through a direct computation with subintervals partitioning [0, 1], we compute better a posteriori bounds for the average case error of the difference between the true value of $I(f)=\int_{0}^{1}f(x)dx$ with $f{\in}C^r$ [0, 1] minus the composite trapezoidal rule and the composite trapezoidal rule minus the basic trapezoidal rule for $r{\geq}3$ by using zero mean-Gaussian.

Keywords

trapezoidal rule; average case setting; error analysis;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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