A VORONOVSKAYA-TYPE THEOREM FOR A GENERAL CLASS OF DISCRETE OPERATORS

Here we introduce a general class of discrete operators, not necessarily positive and we give a Voronovskaya-type formula for this class. Applications to generalized sampling-type operators and to a further generalization of the classical Szasz-Mirak'jan operator are given. Finally a survey on Voronovskaya's formula for classical discrete operators is treated.