Abstract
In this present study, we first establish Hermite–Hadamard type inequalities for r -convex functions via q κ 2 -definite integrals. Then, we prove some quantum inequalities of Hermite–Hadamard type for product of two r -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 r -convex functions and for the product of two coordinated r -convex functions.
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