International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 6, Pages 37253, 5 p.
doi:10.1155/IJMMS/2006/37253
Approximation of bounded variation functions by a Bézier variant of the Bleimann, Butzer, and Hahn operators
Vijay Gupta1
and Ogün Doğru2
1School of Applied Sciences, Netaji Subhas Institute of Technology, Sector-3, Dwarka, New Delhi 110045, India
2Department of Mathematics, Faculty of Science, Ankara University, Tandogan, Ankara 06100, Turkey
Abstract
We give a sharp estimate on the rate of convergence for the Bézier variant of Bleimann, Butzer, and Hahn operators for functions of bounded variation. We consider the case when α≥1 and our result improves the recently established results of Srivastava and Gupta (2005) and de la Cal and Gupta (2005).