International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 7, Pages 49094, 9 p.
doi:10.1155/IJMMS/2006/49094
Simultaneous approximation for the Phillips operators
N.K. Govil1
, Vijay Gupta2
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
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.