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).

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
URI https://vuir.vu.edu.au/id/eprint/17196
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 integral inequalities, quadrature formulae
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