The main aim of this article is to introduce a new type of
q
-Chlodowsky and
q
-Szasz-Durrmeyer hybrid operators on weighted spaces. To this end, we give approximation properties of the modified new
q
-Hybrid operators. Moreover, in the weighted spaces, we examine the rate of convergence of the modified new
q
-Hybrid operators by means of moduli of continuity. In addition, we derive Voronovskaja’s type asymptotic formula for the related operators.