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On Perturbed Trapezoidal and Midpoint Rules

Cerone, Pietro (2001) On Perturbed Trapezoidal and Midpoint Rules. RGMIA research report collection, 4 (2).

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Abstract

Explicit bounds are obtained for the perturbed, or corrected, trapezoidal and midpoint rules in terms of the Lebesque norms of the second derivative of the function. It is demonstrated that the bounds obtained are the same for both rules although the perturbation or the correction term is different.

Item Type: Article
Uncontrolled Keywords: perturbed trapezoidal rule, midpoint rule, Lebesque norms
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 30 Aug 2012 04:05
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17407
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