Some Remarks on the Midpoint Rule in Numerical Integration

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Dragomir, Sever S, Cerone, Pietro and Sofo, Anthony (1998) Some Remarks on the Midpoint Rule in Numerical Integration. RGMIA research report collection, 1 (2).


Using some classical results from the theory of inequalities (Grüss' inequality, Hermite- Hadamard's inequality and others) we point out some quasi-midpoint quadrature formulae, for which the errors of approximation are smaller than the error given for the classical approach.

Item type Article
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 theory of inequalities, Grüss' inequality, Hermite-Hadamard's inequality, quasi-midpoint quadrature formulae, errors of approximation, midpoint inequality
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