International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 49094, 9 pages
Simultaneous approximation for the Phillips operators
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.