Rate of Convergence of Durrmeyer Type Baskakov-Bezier Operators for Locally Bounded Functions

Authors: VIJAY GUPTA

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.

Keywords: Locally Bounded Functions, Rate of Convergence, Modulus of Variation

Full Text: PDF