In this paper, we establish some new quantum Hermite-Hadamard type inequalities for differentiable convex functions by using the q κ 2-quantum integral. The results presented in this paper extend the results of Bermudo et al. (On q-Hermite-Hadamard inequalities for general convex functions, Acta Mathematica Hungarica, 2020, 162, 363-374). Finally, we give some examples to show validation of new results of this paper.