Preservation properties of the Baskakov–Kantorovich operators

This paper is devoted to the study of preservation properties of the Baskakov–Kantorovich operators such as monotonicity, convexity, smoothness, as well as those under the average. Some of them are first considered for the positive linear operators as we know. Our results show that there are some differences in preservation properties between the Baskakov–Kantorovich operators and the Baskakov operators.