Malaysian Journal of Mathematical Sciences, March 2025, Vol. 19, No. 1
Midpoint Integral Inequalities of Hermite-Hadamard Type Using Generalized Fractional Integrals for P-convex and Quasi-convex Stochastic Process
Rholam, O., Laarichi, Y., Elkaf, M., and Ftouhi, M.
Corresponding Email: [email protected]
Received date: 20 June 2024
Accepted date: 4 November 2024
Abstract:
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.
Keywords: stochastic process; quasi convex; P-convex; fractional integrals; fractional operators; Hermite Hadamard inequality
