Work

A complete asymptotic expansion for the semi-exponential Post–Widder operators

Year: 2026

Type: article

Abstract: In the present paper, we study the asymptotic properties of the semi-exponential Post–Widder operator. It is connected with the power function p , $$p\left( x\right) =x^{2}$$ 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.

Source: Advances in Operator Theory

DOI: 10.1007/s43036-026-00499-5

Authors: Ulrich Abel, Octavian Agratini, Radu Păltănea

Institutions: Technische Hochschule Mittelhessen, Tiberiu Popoviciu Institute of Numerical Analysis, Transylvania University of Brașov

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W7140173748