Summary: In the present paper, We consider the generalised form of iterative combinations of positive linear operators with well-known Bernstein and Baskakov operators as its particular case. We have estimated the iterative operator's \(r^{th}\) moment and found a recurrence relation between the central moments and their derivatives. We deduce the Voronovskaya type asymptotic formula and the relation between the error of a continuous function and its norm with restrictions on its higher derivatives.