  In the present investigation, we aim to establish some inequalities involving
generalized Erd\'elyi-Kober fractional $q$-integral operator of the two
parameters of deformation $q_{1}$ and $q_{2}$ due to Gaulu\'e, by following the
same lines used by Baleanu and Agarwal in their recent paper. Relevant
connections of the results presented here with those earlier ones are also
pointed out.
