Some quantum estimates for Hermite-Hadamard inequalities

In this paper, we establish quantum analogue of classical integral identity. Using this identity, we derive some quantum estimates for Hermite-Hadamard inequalities for q-differentiable convex functions and q-differentiable quasi convex functions. Results obtained present refinement and improvement of the known results. The ideas and techniques of this paper may stimulate further research. (C) 2014 Elsevier Inc. All rights reserved.