Certain Inequalities Involving the Fractional q-Integral Operators

Abstract

We establish some inequalities involving Saigo fractional $q$-integral operator in the theory of quantum calculus by using the two parameters of deformation, $q_1$ and $q_2$, whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville and Kober fractional $q$-integral operators, respectively. Furthermore, we also consider their relevance with other related known results.