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-Bezier operators for bounded variation functions
School of Applied Sciences, Netaji Subhas Institute of Technology, Azad Hind Fauj Marg, Sector 3 Dwarka, New Delhi 110045, India
Received 28 March 2002
Copyright © 2002 Vijay Gupta. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.