Midpoint Integral Inequalities of Hermite-Hadamard Type Using Generalized Fractional Integrals for P-convex and Quasi-convex Stochastic Process

This paper introduces a new definition that generalizes significant fractional integral operators and applies them to P-convex and quasi-convex stochastic processes, resulting in new Hermite-Hadamard type inequalities. These inequalities yield specific results for the integral operators and enhance the understanding of the relationships between convex functions, fractional integral operators, and stochastic processes. These findings provide a foundation for further research, potentially uncovering new mathematical relationships and applications in related areas.