Affiliation:
1. 1 Netaji Subhas University of Technology Department of Mathematics , Sector 3 Dwarka, New Delhi 110078 , India e-mail: anjali.ma20@nsut.ac.in
Abstract
Abstract
In the present research, we estimate some approximation properties for the generalization of a sequence of positive linear operators considered by Holhoş [6] with the following operators available in literature as special examples: Szàsz operator, Ismail-May operator associated with x(1 + x)2. We estimate its recurrence relation, moments and verify the same for its particular cases. Finally, we graphically compare the convergence of this new general operator for a continuous function, examine the convergence for each instance, and come to a conclusion regarding which scenario provides the best approximation.