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On the Generalized Baskakov Durrmeyer Operators

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,

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