The present paper deals with the approximation of Bézier variants of Baskakov-Kantorovich operators V ∗ n,α in the case 0 < α < 1. Pointwise approximation properties of the operators V ∗ n,α are studied. A convergence theorem of this type approximation for locally bounded functions is established. This convergence theorem subsumes the approximation of functions of bounded variation as a special...