Approximation Theorems for Complex $$\alpha $$-Bernstein–Kantorovich Operators

Abstract

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