Original scientific paper

Weighted approximation by q-Ibragimov-Gadjiev operators

Serap Herdem ; Department of Mechanical Engineering, Piri Reis University, Postane Mahallesi, Istanbul, Turkey
Ibrahim Buyukyazıcı ; Department of Mathematics, Faculty of Science, Ankara University, Ankara, Turkey

Abstract

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

Keywords

q-Ibragimov-Gadjiev operators; weighted approximation; q-integers; q-derivatives

Hrčak ID:

244259

URI

https://hrcak.srce.hr/244259

Publication date:

29.9.2020.

Visits: 812 *