An Ostrowski's Type Inequality for a Random Variable whose Probability Density Function Belongs to L∞ [A,B]

Barnett, Neil S and Dragomir, Sever S (1998) An Ostrowski's Type Inequality for a Random Variable whose Probability Density Function Belongs to L∞ [A,B]. RGMIA research report collection, 1 (1).

Abstract

An inequality of Ostrowski's type for a random variable whose probability density function is in L∞ [a,b] in terms of the cumulative distribution function and expectation is given. An application for a Beta random variable is also given.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17066
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's type inequalities, probability density functions, cumulative distribution functions, expectations, beta random variable
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