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Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces

Kikianty, Eder and Dragomir, Sever S and Cerone, Pietro (2007) Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces. Research report collection, 10 (3).

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Abstract

An Ostrowski type inequality is developed for estimating the devi- ation of the integral mean of an absolutely continuous function and the linear combination of its values at k + 1 partition points on a segment in (real) linear spaces. Some particular cases are provided which recapture earlier re- sults along with the results for trapezoidal type inequalities and the classical Ostrowski inequality. Inequalities are obtained by applying these results for semi-inner products and some of these inequalities are proven to be sharp.

Item Type: Article
Uncontrolled Keywords: Ostrowski type inequality, absolutely continuous function, semi-inner product
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 10 Feb 2012 04:53
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17547
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