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This paper aims to extend, within the context of quantum calculus, the α-Bernstein–Schurer operators (α∈0,1) to Kantorovich form. Using the Ditzian–Totik modulus of continuity and the Lipschitz-kind maximal function for our recently extended operators, we first examine the Korovkin-type theorem before studying the global approximation and rate of convergence, respectively. Furthermore, Taylor’s formula is used to present Voronovskaja-type theorems. Lastly, the aforementioned operators are validated through the numerical results with graphical representation.
Md. Nasiruzzaman (Mon,) studied this question.