Quantum Hermite-Hadamard-type inequalities for functions with convex absolute values of second <mml:msup>qb</mml:msup>-derivatives

In this paper, we obtain Hermite-Hadamard-type inequalities of convex functions by applying the notion of qb-integral. We prove some new inequalities related with right-hand sides of qb-Hermite-Hadamard inequalities for differentiable functions with convex absolute values of second derivatives. The results presented in this paper are a unification and generalization of the comparable results in the literature on Hermite-Hadamard inequalities.Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61673169, 11301127, 11701176, 11626101, 11601485, 11971241]The work was supported by the Natural Science Foundation of China (Grant Nos. 61673169, 11301127, 11701176, 11626101, 11601485, 11971241).WOS:0006080401000022-s2.0-8509885460