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An Integral Inequality for Twice Differentiable Mappings and Applications\ud

By Sever S Dragomir and Anthony Sofo


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

Topics: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), integral inequalities, quadrature formulae
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 1999
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