Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means

DOI10.1155/IJMMS.2005.2895zbMath1121.39021OpenAlexW1989378391MaRDI QIDQ2368410

Lucio R. Berrone

Publication date: 19 April 2006

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53453

zbMATH Keywords

invarianceCauchy mean-value expressiontwo-variable Cauchy means

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional equations for real functions (39B22)

Related Items (4)

Generalized Cauchy means ⋮ Some Cauchy mean-type mappings for which the arithmetic mean is invariant ⋮ On the equality of quasi-arithmetic and Lagrangian means ⋮ On a functional equation related to two-variable Cauchy means

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