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A New Ostrowski Type Inequality Involving Integral Means Over End Intervals

Cerone, Pietro (2001) A New Ostrowski Type Inequality Involving Integral Means Over End Intervals. RGMIA research report collection, 4 (2).

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Abstract

The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The current article obtains bounds for the deviation of a function from a combination of integral means over the end intervals covering the entire interval. Perturbed expressions are also determined via the Chebychev functional. A variety of earlier results are recaptured as particular instances of the current development.

Item Type: Article
Uncontrolled Keywords: Ostrowski inequality, Chebychev functional
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 04:08
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17399
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