On Perturbed Trapezoidal and Midpoint Rules

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


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
URI https://vuir.vu.edu.au/id/eprint/17407
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords perturbed trapezoidal rule, midpoint rule, Lebesque norms
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