An Ostrowski Type Inequality for a Random Variable Whose Probability Density Fuction Belongs To Lp [A,B], P > 1

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Dragomir, Sever S, Barnett, Neil S and Wang, Song (1999) An Ostrowski Type Inequality for a Random Variable Whose Probability Density Fuction Belongs To Lp [A,B], P > 1. RGMIA research report collection, 2 (1).

Abstract

An inequality of Ostrowski's type for a random variable whose probability densiy function is in Lp [a,b], p > 1, 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/17132
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Ostrowski's type inequalities, probability density function, cumulative distribution functions, expectations, Beta random variable
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