On the Durrmeyer variant of Baskakov operators
by
N. K. Govil and Vijay Gupta*
Department of Mathematics and Statistics, Auburn University, Auburn 36849-5108, Alabama, USA. *Permanent Address: School of Applied Sciences, Netaji Subhas Institute of Technology, New Delhi 110075, India

In the present paper we discuss some problems related to approximation for the integral modification of the well known Baskakov operators. We study some direct results on the summation-integral type modified Baskakov operators. In simultaneous approximation, we establish pointwise convergence, asymptotic formula, error estimations for these certain type of operators. It is observed that these operators also reproduces every linear function, so iterative combinations can be considered to improve the order of approximation. We have also estimated some direct results for the iterative combinations in simultaneous approximation.

Date received: October 31, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # carr-48.