On the Generalized Baskakov Durrmeyer Operators

Year 2019, Volume: 23 Issue: 4, 549 - 553, 01.08.2019

Gülsüm Ulusoy

https://doi.org/10.16984/saufenbilder.484564

Cited By: 3

https://izlik.org/JA38EG82BH

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

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