Hermite-Hadamard, Jensen, and Fractional Integral Inequalities for Generalized P-Convex Stochastic Processes

Fangfang Ma, Waqas Nazeer, Mamoona Ghafoor and Ahmet Ocak Akdemir

Journal of Mathematics, 2021, vol. 2021, 1-9

Abstract: The stochastic process is one of the important branches of probability theory which deals with probabilistic models that evolve over time. It starts with probability postulates and includes a captivating arrangement of conclusions from those postulates. In probability theory, a convex function applied on the expected value of a random variable is always bounded above by the expected value of the convex function of that random variable. The purpose of this note is to introduce the class of generalized p-convex stochastic processes. Some well-known results of generalized p-convex functions such as Hermite-Hadamard, Jensen, and fractional integral inequalities are extended for generalized p-stochastic convexity.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5524780

DOI: 10.1155/2021/5524780

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