Hüseyin Budak

On generalized stochastic fractional integrals and related inequalities

The generalized mean-square fractional integrals $\mathcal{J}_{ρ,λ,u+;ω}^σ$ and $\mathcal{J}_{ρ,λ,v-;ω}^σ$ of the stochastic process $X$ are introduced. Then, for Jensen-convex and strongly convex stochastic proceses, the generalized fractional Hermite--Hadamard inequality is establish via generalized stochastic fractional integrals.