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An extension of the generalized mean value theorem of Cauchy. - MaRDI portal

An extension of the generalized mean value theorem of Cauchy. (Q1445162)

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scientific article; zbMATH DE number 2581518
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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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