A STUDY OF AVERAGE ERROR BOUND OF TRAPEZOIDAL RULE

• Journal title : Honam Mathematical Journal
• Volume 30, Issue 3,  2008, pp.581-587
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2008.30.3.581
Title & Authors
A STUDY OF AVERAGE ERROR BOUND OF TRAPEZOIDAL RULE
Yang, Mee-Hyea; Hong, Bum-Il;

Abstract
In this paper, to have a better a posteriori error bound of the average case error between the true value of I(f) and the Trapezoidal rule on subintervals using zero mean-Gaussian, we prove that a new average error between the difference of the true value of I(f) from the composite Trapezoidal rule and that of the composite Trapezoidal rule from the simple Trapezoidal rule is bounded by $\small{c_rH^{2r+3}}$ through direct computation of constants $\small{c_r}$ for r $\small{{\leq}}$ 2 under the assumption that we have subintervals (for simplicity equal length h) partitioning [0, 1].
Keywords
Trapezoidal rule;Error analysis;Wiener measure;
Language
English
Cited by
1.
ON A STUDY OF ERROR BOUNDS OF TRAPEZOIDAL RULE,;;

호남수학학술지, 2014. vol.36. 2, pp.291-303
1.
ON A STUDY OF ERROR BOUNDS OF TRAPEZOIDAL RULE, Honam Mathematical Journal, 2014, 36, 2, 291
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