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Some Remarks on the Midpoint Rule in Numerical Integration

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

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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
Uncontrolled Keywords: theory of inequalities, Grüss' inequality, Hermite-Hadamard's inequality, quasi-midpoint quadrature formulae, errors of approximation, midpoint inequality
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: 09 Feb 2012 22:08
Last Modified: 23 May 2013 16:48
URI: http://vuir.vu.edu.au/id/eprint/17123
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