Journals / Turkish Journal of Mathematics / 2004 / Cilt: 28 - Sayı: 3
Rate of Convergence of Durrmeyer Type Baskakov-Bezier Operators for Locally Bounded Functions
- Pages
- 271–280
- DOI
- —
Abstract
In the present paper, we introduce the Durrmeyer variant of Baskakov-Bezier operators Bn,a (f,x), which is the modified form of Baskakov-Beta operators. Here we obtain an estimate on the rate of convergence of Bn,a (f,x) for functions of bounded variation in terms of Chanturiya's modulus of variation. In the end we also propose an open problem for the readers.
Özet
In the present paper, we introduce the Durrmeyer variant of Baskakov-Bezier operators Bn,a (f,x), which is the modified form of Baskakov-Beta operators. Here we obtain an estimate on the rate of convergence of Bn,a (f,x) for functions of bounded variation in terms of Chanturiya's modulus of variation. In the end we also propose an open problem for the readers.