A complete asymptotic expansion for the semi-exponential Post-Widder operators
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915495922368512 |
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| author | Abel, Ulrich Agratini, Octavian Paltanea, Radu |
| author_facet | Abel, Ulrich Agratini, Octavian Paltanea, Radu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12270 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A complete asymptotic expansion for the semi-exponential Post-Widder operators Abel, Ulrich Agratini, Octavian Paltanea, Radu Classical Analysis and ODEs 41A36, 41A60 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. |
| title | A complete asymptotic expansion for the semi-exponential Post-Widder operators |
| topic | Classical Analysis and ODEs 41A36, 41A60 |
| url | https://arxiv.org/abs/2509.12270 |