A Note on Ostrowski's Inequality

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Niculescu, Constantin P and Florea, Aurelia (2002) A Note on Ostrowski's Inequality. RGMIA research report collection, 6 (4).

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.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17866
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 Lipschitz mapping, mean value, multiplicative mean
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