Semi-exponential operators connected to $ x^3 $. A probabilistic perspective
José Antonio Adell,
Vijay Gupta
Abstract:In this paper, we consider semi-exponential operators connected to x 3 . We obtain for them preservation properties, explicit estimates of the rates of convergence, and closed form expressions for their moments. This is done by using probabilistic representations for such operators in terms of expectations involving appropriate random variables.
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