International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 23, Pages 3827-3833
doi:10.1155/IJMMS.2005.3827
Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation
Vijay Gupta1
, Ulrich Abel2
and Mircea Ivan3
1School of Applied Science, Netaji Subhas Institute of Technology, Azad Hind Fauj Marg, Sector-3, Dwarka, New Delhi 110 045, India
2Fachbereich MND, Fachhochschule Giessen-Friedberg, University of Applied Sciences, Wilhelm-Leuschner-Straeta e 13, Friedberg 61169, Germany
3Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca 400020, Romania
Abstract
We study the approximation properties of beta operators of second kind. We obtain the rate of convergence of these operators for absolutely continuous functions having a derivative equivalent to a function of bounded variation.