Vivas Cortez, Miguel José2023-11-042023-11-0420192073-8994https://doi.org/10.3390/sym11121513https://repositorio.puce.edu.ec/handle/123456789/5314https://www.mdpi.com/2073-8994/11/12/1513/htmIn this paper, the study is focused on the quantum estimates of Ostrowski type inequalities for q-differentiable functions involving the special function introduced by R.K. Raina which depends on certain parameters. Our methodology involves Jackson’s q-integral, the basic concepts of quantum calculus, and a generalization of a class of special functions used in the frame of convex sets and convex functions. As a main result, some quantum estimates for the aforementioned inequality are established and some cases involving the special hypergeometric and Mittag–Leffler functions have been studied and some known results are deduced.enOpenAccessFunciones convexasDesigualdades integralesFunciones convexasDesigualdades integrales