International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 49094, 9 pages

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, AL 36849-5108, 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

Copyright © 2006 N. K. Govil et al. 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.


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.