Mathematica Eterna
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Abstract

On Ostrowski’s Type Inequalities via Convex, s-Convex and Quasi-Convex Stochastic Processes

Jes´us Materano, Nelson Merentes and Maira Valera-L´opez

In this paper we prove classical the Ostrowski’s integral inequalities for stochastic processes. Several inequalities for Ostrowski’s type via concave, convex, s-convex and quasi-convex stochastic processes are introduced. Some bounds for the difference between the integral mean of a stochastic process X defined on the interval [a, b] and it is value in the midpoint a+b 2 are provided. Therefore, the inequalities are related to the left hand side of Hadamard inequality