Abstract
The motive of the present paper is to construct q-Phillips operators generated by the parametric extension of exponential function by including the parameter zeta is an element of [1/2, infinity). First we give the basic estimates to obtain their central moments and then study the Korovkin's-type approximation theorems. Moreover, we investigate local approximation results via Peetre's K-functional, modulus of continuity and Lipschitz-type approximation.