Research Information System
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.64, no.2, pp.55-62, 2015 (ESCI)
In the present paper, we introduce sequences of Bleimann, Butzer and Hahn operators which are based on a function tau. This function is a continuously differentiable function on R+, such that tau(0) = 0, inf tau'(x) >= 1. We give a Korovkin-type theorem and prove uniform approximation of the generalized Bleimann, Butzer and Hahn operator. We also investigate the monotonic convergence property of the sequence of the operators under tau-convexity.