Voronovskaya type results for Bernstein-Chlodovsky operators preserving e(-2x)

In this paper we continue the study of certain Bernstein-Chlodovsky operators B-n* preserving the exponential function e(-2x) (x >= 0), recently introduced in [4]. In particular, we prove some Voronovskaya type theorems and we deduce some properties of the B-n*'s, such as saturation results. We also compare this new class of operators with the classical Bernstein-Chlodovsky ones, proving that the operators B-n* provide better approximation results for certain functions. Published by Elsevier Inc.