The paper under review concerns the approximation property of q-analogue of the well-known Szász-Mirakyan-Kantorovich operators. The authors introduce a
-analogue of the Szász-Mirakyan-Kantorovich operators and propose two different modifications of these operators using the classical
-analogue of the integration in the interval
see [F. H. Jackson
, Q. J. 41, 193–203 (1910; JFM 41.0317.04
)]. These modifications preserve some test functions. They also examine the rate of convergence for the constructed operators by means of modulus of continuity.