Weighted approximation by q-Ibragimov-Gadjiev operators

Abstract

The present paper deals with a q-generalization of Ibragimov-Gadjiev operators, which were constructed by Ibragimov and Gadjiev in 1970. We study convergence properties on the interval [0, infinity) and obtain the rate of convergence in terms of a weighted modulus of continuity. We also give some representation formulas of the operators using q-derivatives.