Turkish Journal of Mathematics
Abstract
In the present paper, we introduce the Durrmeyer variant of Baskakov-Bezier operators B_{n,\alpha} (f,x), which is the modified form of Baskakov-Beta operators. Here we obtain an estimate on the rate of convergence of B_{n,\alpha} (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.
DOI
-
Keywords
Locally Bounded Functions, Rate of Convergence, Modulus of Variation
First Page
271
Last Page
280
Recommended Citation
GUPTA, VIJAY (2004) "Rate of Convergence of Durrmeyer Type Baskakov-Bezier Operators for Locally Bounded Functions," Turkish Journal of Mathematics: Vol. 28: No. 3, Article 5. Available at: https://journals.tubitak.gov.tr/math/vol28/iss3/5