The authors have defined a new sequence of linear positive operators by coupling Szász and beta operators as
The main result of the paper is the Woronowskaja type asymptotic formula in simultaneous approximation for Lebesgue integrable functions. The next result is the local estimate for the th derivative of the function. Finally, the claim that the main theorem has improved the earlier results on modified Baskakov and Szász operators by H. S. Kasana, P. N. Agrawal and V. Gupta [Approximation Theory Appl. 7, No. 2, 65-82 (1991; Zbl 0755.41024)].