Abstract
We construct the Stancu variant of Bernstein-Kantorovich operators based on shape parameter alpha. We investigate the rate of convergence of these operators by means of suitable modulus of continuity to any continuous functions f(x) on x is an element of and Voronovskaja-type approximation theorem. Moreover, we study other approximation properties of our new operators such as weighted approximation as well as pointwise convergence. Finally, some illustrative graphics are provided here by our new Stancu-type Bernstein-Kantorovich operators in order to demonstrate the significance of our operators.