On the Generalized Baskakov Durrmeyer Operators

Authors : Gülsüm ULUSOY

Pages : 549-553

Doi:10.16984/saufenbilder.484564

View : 14 | Download : 10

Publication Date : 2019-08-01

Article Type : Research Paper

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