Balogh, Zoltan; Ibrogimov, Orif; Mityagin, Boris S. (2016). Functional equations and the Cauchy mean value theorem. Aequationes mathematicae, 90(4), pp. 683-697. Springer 10.1007/s00010-015-0395-6
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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.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Balogh, Zoltan, Ibrogimov, Orif |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0001-9054 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
08 Jun 2016 16:46 |
Last Modified: |
05 Dec 2022 14:55 |
Publisher DOI: |
10.1007/s00010-015-0395-6 |
BORIS DOI: |
10.7892/boris.81168 |
URI: |
https://boris.unibe.ch/id/eprint/81168 |
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