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 Gupta,1 Ulrich Abel,2 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-Straβe 13, Friedberg 61169, Germany
3Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca 400020, Romania
Received 23 May 2005; Revised 12 September 2005

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.