A New Ostrowski Type Inequality Involving Integral Means Over End Intervals

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

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
URI https://vuir.vu.edu.au/id/eprint/17399
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Ostrowski inequality, Chebychev functional
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