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arXiv · 1508.00329

Functional Equations and the Cauchy Mean Value Theorem

Zoltan M. Balogh·Orif O. Ibrogimov·Boris S. Mityagin
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Abstract

The aim of this note is to characterize all pairs of sufficiently smooth functions for which the mean value in the Cauchy Mean Value Theorem is taken at a point which has a well-determined position in the interval. As an application of this result, a partial answer is given to a question posed by Sahoo and Riedel.

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Zoltan M. Balogh, Orif O. Ibrogimov, Boris S. Mityagin. 2015-08-03. Functional Equations and the Cauchy Mean Value Theorem. https://arxiv.org/abs/1508.00329

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