Balogh, ZoltanZoltanBaloghIbrogimov, OrifOrifIbrogimovMityagin, Boris S.Boris S.Mityagin2024-10-242024-10-242016https://boris-portal.unibe.ch/handle/20.500.12422/141376The 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.en500 - Science::510 - Mathematicsarticle10.7892/boris.8116810.1007/s00010-015-0395-6