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).
Abstract
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 |
| URI | https://vuir.vu.edu.au/id/eprint/17123 |
| 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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