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

By Eder Kikianty, Sever S Dragomir and Pietro Cerone


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

Topics: 0101 Pure Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), Ostrowski type inequality, absolutely continuous function, semi-inner product
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 2007
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