An extension of the generalized mean value theorem of Cauchy. (Q1445162)
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scientific article; zbMATH DE number 2581518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extension of the generalized mean value theorem of Cauchy. |
scientific article; zbMATH DE number 2581518 |
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An extension of the generalized mean value theorem of Cauchy. (English)
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1927
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Der Verf. untersucht die Anwendbarkeit des verallgemeinerten Cauchyschen Mittelwertsatzes \[ \frac{f(x+h)-f(x)}{\varphi(x+h)-\varphi(x)}= \frac{f'(x + \vartheta h)}{\varphi'(x+\vartheta h)} \] in dem Falle, daß \(\varphi'(x)\) in endlich vielen Punkten des Intervalles \((x,x+h)\) verschwindet.
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