On means generated through the Cauchy mean value theorem

DOI10.1007/S000100050131zbMath0965.39019OpenAlexW2077215432MaRDI QIDQ1587831

Lucio R. Berrone, Julio Moro

Publication date: 23 July 2001

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000100050131

zbMATH Keywords

quasiarithmetic meansmean valuesCauchy meansbisymmetrymixing operatorCauchy's mean value theoremextended meansfunctional equations for real functions

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional equations for real functions (39B22) Means (26E60)

Related Items (9)

Generalized Cauchy means ⋮ Weighting by iteration: the case of Ryll-Nardzewski's iterations ⋮ Equality and homogeneity of generalized integral means ⋮ Aggregation functions: means ⋮ Some Cauchy mean-type mappings for which the arithmetic mean is invariant ⋮ On the equality of quasi-arithmetic and Lagrangian means ⋮ A mean-value theorem and its applications ⋮ On a functional equation related to two-variable Cauchy means ⋮ Means and the mean value theorem

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