Functional Equations and the Cauchy Mean Value Theorem

Published 3 Aug 2015 in math.CA | (1508.00329v1)

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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