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

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

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
URI https://vuir.vu.edu.au/id/eprint/17547
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Ostrowski type inequality, absolutely continuous function, semi-inner product
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