Quantum Inequalities of Hermite–Hadamard Type for r -Convex Functions

In this present study, we first establish Hermite–Hadamard type inequalities for - convex functions via - definite integrals. Then, we prove some quantum inequalities of Hermite–Hadamard type for product of two - convex functions. Finally, by using these established inequalities and the results given by (Brahim et al. 2015), we prove several quantum Hermite–Hadamard type inequalities for coordinated - convex functions and for the product of two coordinated - convex functions.