International Journal of Mathematics and Mathematical Sciences 
Volume 2006 (2006), Article ID 49094, 9 pages
doi:10.1155/IJMMS/2006/49094

Simultaneous approximation for the Phillips operators

N. K. Govil,1 Vijay Gupta,2 and Muhammad Aslam Noor3

 1Department of Mathematics and Statistics, Auburn University, Auburn 36849-5108, AL, USA
2School of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi 110075, India
3Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan
Received 18 October 2005; Accepted 1 March 2006

Abstract

We study the simultaneous approximation properties of the well-known Phillips operators. We establish the rate of convergence of the Phillips operators in simultaneous approximation by means of the decomposition technique for functions of bounded variation.