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A note on Ostrowski's inequality

Abstract

This paper deals with the problem of estimating the deviation of the values of a function from its mean value. We consider the following special cases: (i) the case of random variables (attached to arbitrary probability fields); (ii) the comparison is performed additively or multiplicatively; (iii) the mean value is attached to a multiplicative averaging process.

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Correspondence to Aurelia Florea.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Florea, A., Niculescu, C.P. A note on Ostrowski's inequality. J Inequal Appl 2005, 714694 (2005). https://doi.org/10.1155/JIA.2005.459

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  • DOI: https://doi.org/10.1155/JIA.2005.459