Izvorni znanstveni članak

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

Sažetak

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.

Ključne riječi

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

Hrčak ID:

244259

URI

https://hrcak.srce.hr/244259

Datum izdavanja:

29.9.2020.

Posjeta: 519 *