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- Title
Functional equations and the Cauchy mean value theorem.
- Authors
Balogh, Zoltán; Ibrogimov, Orif; Mityagin, Boris
- 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.
- Subjects
FUNCTIONAL equations; MEAN value theorems; CAUCHY sequences; MATHEMATICAL analysis; CALCULUS
- Publication
Aequationes Mathematicae, 2016, Vol 90, Issue 4, p683
- ISSN
0001-9054
- Publication type
Article
- DOI
10.1007/s00010-015-0395-6