Kajla, ArunMohiuddine, S,AAlotaibi, Abdullah2023-05-022023-05-022022http://hdl.handle.net/123456789/1103In the present manuscript, we consider -Bernstein-Durrmeyer operators involving a strictly positive continuous function. Firstly, we prove a Voronovskaja type, quantitative Voronovskaja type and Gr¨ uss-Voronovskaja type asymptotic formula, the rate of convergence by means of the modulus of continuity and for functions in a Lipschitz type space. Finally, we show that the numerical examples which describe the validity of the theoretical example and the effectiveness of the defined operators.enPositive Approximation, Steklov mean.Article