In this paper we introduce a new kind of Baskakov-Schurer-Szász-Beta operators Mn,pq based on q-integers.We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0,∞].Then we obtain the estimates on the rate of convergence and weighted approximation of operators M^q_n,pin terms of modulus of continuity. 

In this paper we introduce a new kind of Baskakov-Schurer-Szász-Beta operators Mn,pq based on q-integers.We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0,∞].Then we obtain the estimates on the rate of convergence and weighted approximation of operators M^q_n,pin terms of modulus of continuity.