In this paper we introduce a general class of discrete operators not necessarily positive and we give a Voronovskaja 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 of Voronovskaja's formula for classical discrete operators is treated.
A Voronovskaya-type theorem for a general class of discrete operators.
BARDARO, Carlo;MANTELLINI, Ilaria
2009
Abstract
In this paper we introduce a general class of discrete operators not necessarily positive and we give a Voronovskaja 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 of Voronovskaja's formula for classical discrete operators is treated.File in questo prodotto:
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