Functional equations and the Cauchy mean value theorem


Autoria(s): Balogh, Zoltan; Ibrogimov, Orif; Mityagin, Boris S.
Data(s)

2016

Resumo

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.

Formato

application/pdf

Identificador

http://boris.unibe.ch/81168/1/art%253A10.1007%252Fs00010-015-0395-6.pdf

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 <http://dx.doi.org/10.1007/s00010-015-0395-6>

doi:10.7892/boris.81168

info:doi:10.1007/s00010-015-0395-6

urn:issn:0001-9054

Idioma(s)

eng

Publicador

Springer

Relação

http://boris.unibe.ch/81168/

Direitos

info:eu-repo/semantics/openAccess

Fonte

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 <http://dx.doi.org/10.1007/s00010-015-0395-6>

Palavras-Chave #510 Mathematics
Tipo

info:eu-repo/semantics/article

info:eu-repo/semantics/publishedVersion

PeerReviewed