The case g(z) 1_ yields the classical operators of Otto Szasz [5]. The operators Pn were introduced by Jakimovski and Leviatan [1], who proved certain approximation properties of Pn(f; x) for real x. The author [6] investigated approximation properties of Pn(f; z) for complex z, as well as variation-diminishing properties of the operators and summability properties of an associated sequence-to-sequence transform. In particular, the following theorem was established in [6]. THEOREM 1.1. Let Pn be positive in [0, oo) and assume