Applied Mathematics & Information Sciences

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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.

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