A theorem from the theory of infinite series. (Q1519488)
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scientific article; zbMATH DE number 2673197
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A theorem from the theory of infinite series. |
scientific article; zbMATH DE number 2673197 |
Statements
A theorem from the theory of infinite series. (English)
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1897
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Beweis des Satzes: Damit die Reihe \(\sum\limits_1^\infty a_\nu\) convergirt, ist erforderlich und hinreichend, dass gleichzeitig \(\lim\limits_{\varrho=1}\sum\limits_1^\infty a_\nu\varrho^\nu\) existirt und dass \(\lim\limits_{n=\infty}\frac1n\sum\limits_1^n \nu a_\nu=0\) ist.
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Tauberian theorems
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