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首页> 外文期刊>Mathematical Problems in Engineering: Theory, Methods and Applications >Generalization of h-Convex Stochastic Processes and Some Classical Inequalities
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Generalization of h-Convex Stochastic Processes and Some Classical Inequalities

机译：Generalization of h-Convex Stochastic Processes and Some Classical Inequalities

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摘要

The field of stochastic processes is essentially a branch of probability theory, treating probabilistic models that evolve in time. It is best viewed as a branch of mathematics, starting with the axioms of probability and containing a rich and fascinating set of results following from those axioms. In probability theory, a convex function applied to the expected value of a random variable is always bounded above by the expected value of the convex function of the random variable. In this paper, the concept of generalizedh-convex stochastic processes is introduced, and some basic properties concerning generalizedh-convex stochastic processes are developed. Furthermore, we establish Jensen and Hermite-Hadamard and Fejer-type inequalities for this generalization.

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