International Journal of Mathematics and Mathematical Sciences
Volume 32 (2002), Issue 8, Pages 471-479
doi:10.1155/S0161171202203361
Rate of convergence on Baskakov-Beta-Bézier operators for bounded variation functions
Vijay Gupta
School of Applied Sciences, Netaji Subhas Institute of Technology, Azad Hind Fauj Marg, Sector 3 Dwarka, New Delhi 110045, India
Abstract
We introduce a new sequence of linear positive operators Bn,α(f,x), which is the Bezier variant of the well-known Baskakov Beta operators and estimate the rate of convergence of Bn,α(f,x) for functions of bounded variation. We also propose an open problem for the readers.