Some Inequalities via Strongly p-Harmonic Log-Convex Stochastic Processes

Abstract

In this paper, we consider and investigate a new class of harmonic convex Stochastic Process, which is called the strongly p-harmonic log-convex Stochastic Process. We establish some new integral inequalities of Hermite-Hadamard type for the product of strongly p-harmonic log-convex Stochastic Process, and with this we obtain particularized results, some results are also obtained for the cases where one of the stochastic processes considered is of type strongly p-harmonic s-convex, strongly p-harmonic P-convex and strongly p-harmonic h-convex. Results obtained in this paper may be starting point for further research.