Abstract
In the present paper, we study the asymptotic properties of the semi-exponential Post-Widder operator. It is connected with \(p(x)=x^{2}\). The main result is a pointwise complete asymptotic expansion valid for locally smooth functions of exponential growth. All coefficients are derived and explicitly given. As a special case we recover the complete asymptotic expansion for the classical Post-Widder operator
Authors
U. Abel
O. Agratini (Tiberiu Popoviciu Institute of Numerical Analysis)
R. Paltanea
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U Abel, O Agratini, R Paltanea, A complete asymptotic expansion for the semi-exponential Post-Widder operators, https://arxiv.org/abs/2509.12270
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