- Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 23 Issue: 4
- On the Generalized Baskakov Durrmeyer Operators
On the Generalized Baskakov Durrmeyer Operators
Authors : Gülsüm ULUSOY
Pages : 549-553
Doi:10.16984/saufenbilder.484564
View : 10 | Download : 4
Publication Date : 2019-08-01
Article Type : Other
Abstract :The main object of this paper is to construct Baskakov Durrmeyer type operators such that their construction depends on a function ρ. Using the weighted modulus of continuity, we show the uniform convergence of the operators. Moreover we obtain pointwise convergence of B_{n}^{ρ} by obtaining Voronovskaya type theorem. All results show that our new operators are sensitive to the rate of convergence to f, depending on our selection of ρ.Keywords : Baskakov-Durrmeyer operators, weighted modulus of continuity