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

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

*F. Khan, M. Saif, M. Mursaleen, A. H. Khan*

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## Abstract

In the present paper, we obtain the approximation results of (p; q)-Bernstein operators Bn p;q(h; x) to a rational function for q > p > 1 and investigate convergence properties of Bn p;q(h; x) for the function h(x) = (x pmq m) with > 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].

## Keywords

(p; q)-integer, (p; q)-Bernstein operators, convergence, poles.