ON A STUDY OF ERROR BOUNDS OF TRAPEZOIDAL RULE

• Journal title : Honam Mathematical Journal
• Volume 36, Issue 2,  2014, pp.291-303
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2014.36.2.291
Title & Authors
ON A STUDY OF ERROR BOUNDS OF TRAPEZOIDAL RULE
Hahm, Nahmwoo; Hong, Bum Il;

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 $\small{I(f)=\int_{0}^{1}f(x)dx}$ with $\small{f{\in}C^r}$[0, 1] minus the composite trapezoidal rule and the composite trapezoidal rule minus the basic trapezoidal rule for $\small{r{\geq}3}$ by using zero mean-Gaussian.
Keywords
trapezoidal rule;average case setting;error analysis;
Language
English
Cited by
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