Approximation Theorems for Complex \(\alpha \)-Bernstein–Kantorovich Operators

In this paper, we introduce the complex form of \(\alpha \) $\alpha$ -Bernstein–Kantorovich operators. Respectively, upper quantitative estimates for the complex \(\alpha \) $\alpha$ -Bernstein–Kantorovich operator and its derivatives, Voronovskaya type result and the exact order of approximation of these operators are studied.