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A Perturbed Trapezoid Inequality in Terms of the Third Derivative and Applications

Barnett, Neil S and Dragomir, Sever S (2001) A Perturbed Trapezoid Inequality in Terms of the Third Derivative and Applications. RGMIA research report collection, 4 (2).

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Abstract

Some error estimates in terms of the p−norms of the third derivative for the remainder in a perturbed trapezoid formula are given. Applications to composite quadrature formulae, for the expectation of a random variable and for Hermite-Hadamard divergence in Information Theory are pointed out.

Item Type: Article
Uncontrolled Keywords: trapezoid 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: 30 Aug 2012 04:10
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17405
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