**6. Conclusions**

Here, the *q*-analogue of the generalized Lupa¸s operators are constructed. We have investigated convergence properties, order of approximation, Voronovskaja-type results and also quantitative estimates for the local approximation. The constructed operators provide better flexibility in approximating functions and rate of convergence which are dependent on the selection of the function *ρ* and extra parameter *q*. These operators also possess interesting properties and depending on the selection of *q*, can obtain better approximation while *q* = 1. The basis of these operators can be used to draw curves and surfaces in Computer Aided Geometric Design (CAGD).

**Author Contributions:** Supervision, A.K. and Z.A.; Writing—original draft, M.Q.; Writing—review and editing, M.M. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research received no external funding.

**Acknowledgments:** The authors are thankful to the referees for their valuable comments and suggestions. The first author is also grateful to the Council of Scientific and Industrial Research (CSIR), India, for providing the Senior Research Fellowship (09/1172(0001)/2017-EMR-I).

**Conflicts of Interest:** We declare that there is no conflict of interest.
