Work

On Fractional Hermite–Hadamard-Type Inequalities for Harmonically s-Convex Stochastic Processes

Year: 2025

Type: article

Abstract: In this paper, we investigate Hermite–Hadamard-type inequalities for harmonically s-convex stochastic processes via Riemann–Liouville fractional integrals. We begin by introducing the notion of harmonically s-convex stochastic processes. Subsequently, we establish a variety of Riemann–Liouville fractional Hermite–Hadamard-type inequalities for harmonic s-convex stochastic. We first provide the Hermite–Hadamard inequality, then by introducing a novel identity involving mean-square stochastic Riemann–Liouville fractional integral operators, we derive several midpoint-type inequalities for harmonically s-convex stochastic processes. Illustrative example with graphical depiction and a practical application are provided.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9110750

Authors: Rabab Alzahrani, Raouf Fakhfakh, Ghadah Alomani, Badreddine Meftah

Institutions: Prince Sattam Bin Abdulaziz University, Jouf University, Princess Nourah bint Abdulrahman University, University of Guelma

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funders: Prince Sattam bin Abdulaziz University, Princess Nourah Bint Abdulrahman University