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An Integral Inequality for Twice Differentiable Mappings and Applications

Dragomir, Sever S and Sofo, Anthony (1999) An Integral Inequality for Twice Differentiable Mappings and Applications. RGMIA research report collection, 2 (2).

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Abstract

An integral inequality is developed from which when applied to composite quadrature rules in numerical integration it is proved that there is a three fold improvement in the remainder of the classical averages of the Midpoint and Trapezoidal quadratures. Inequalities for special means are also given.

Item Type: Article
Uncontrolled Keywords: integral inequalities, quadrature formulae
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: 19 Jul 2012 01:25
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17196
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