In this paper we introduce a new kind of Baskakov-Schurer-Szasz-Beta operators M^qn,p based on q-integers. We establish some direct results in the polynomial weighted space of continuous functions defined on the inter...In this paper we introduce a new kind of Baskakov-Schurer-Szasz-Beta operators M^qn,p 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^qn,p in terms of modulus of continuity.展开更多
文摘In this paper we introduce a new kind of Baskakov-Schurer-Szasz-Beta operators M^qn,p 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^qn,p in terms of modulus of continuity.
