In this research article, we construct a q-analogue of the operators
defined by Betus and Usta (Numer. Methods Partial Differential Eq. 1-12,
(2020)) and study approximation properties in a polynomial weighted
space. Further, we modify these operators to study the approximation
properties of differentiable functions in the same space and show that
the mofidied operators give a better rate of convergence.