ON THE CONVERGENCE OF (p, q)-BERNSTEIN OPERATORS OF THE RATIONAL FUNCTIONS WITH POLES IN [0, 1]

Özet

In the present paper, we obtain the approximation results of (p, q)-Bernstein operators B n p,q(h; x) to a rational function for q > p > 1 and investigate convergence properties of B n p,q(h; x) for the function h(x) = (x − p mq −m) −η with η > 2. Here, we observe that the approximation properties for the (p, q) -Bernstein operators are more precise in nature than the previously obtained results given in [23, 25].