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.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | August 1, 2019 |
Submission Date | November 17, 2018 |
Acceptance Date | January 14, 2019 |
Published in Issue | Year 2019 |
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