Abstract
This paper aims to find Hermite-Hadamard-type inequalities for a generalized notion of integrals called q-h-integrals. Inequalities for q-integrals can be deduced by taking h=0 and are connected with several known results of q-Hermite-Hadamard inequalities. In addition, we analyzed q-h-integrals, q-integrals, and the corresponding inequalities for symmetric functions.