MATEMATICKI VESNIK, cilt.71, sa.4, ss.359-367, 2019 (ESCI)
In this paper, we introduce a sequence of positive linear Beta type operators based on a function tau having certain properties. We firstly give some approximation properties of these operators. Next, we establish Voronovskaja type and Gruss-Voronovskaja type theorems in quantitative form with the help of the first order Ditzian-Totik modulus of smoothness.