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A new generalization of some quantum integral inequalities for quantum differentiable convex functions
(Springer, 2021) Li, Yi-Xia; Ali, Muhammad Aamir; Budak, Hüseyin; Abbas, Mujahid; Chu, Yu-Ming
In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite-Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the literature on Hermite-Hadamard inequalities. Several inequalities, such as the midpoint-like integral inequality, the Simpson-like integral inequality, the averaged midpoint-trapezoid-like integral inequality, and the trapezoid-like integral inequality, are obtained as special cases of our main results.