Equality of two variable Cauchy mean values

DOI10.1007/s000100300004zbMath1022.39023OpenAlexW1550177165MaRDI QIDQ1396527

László Losonczi

Publication date: 3 July 2003

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

Full work available at URL: https://doi.org/10.1007/s000100300004

zbMATH Keywords

functional equationdivided differenceequality problemCauchy mean value

Mathematics Subject Classification ID

Functional equations for real functions (39B22)

Related Items (17)

Generalized Cauchy means ⋮ Equality and homogeneity of generalized integral means ⋮ Equality of two-variable functional means generated by different measures ⋮ On the equality problem of two-variable Bajraktarević means under first-order differentiability assumptions ⋮ On a functional equation related to two-variable weighted quasi-arithmetic means ⋮ Comparison of means generated by two functions and a measure ⋮ Some Cauchy mean-type mappings for which the arithmetic mean is invariant ⋮ The equality problem in the class of conjugate means ⋮ On weighted extensions of Cauchy's means ⋮ On the equality of quasi-arithmetic and Lagrangian means ⋮ On the equality problem of conjugate means ⋮ Invariance of means ⋮ Functional equations involving means and Gauss compositions of means ⋮ On a functional equation related to two-variable Cauchy means ⋮ On the equality of two-variable general functional means ⋮ Characterizations of the equality of two-variable generalized quasiarithmetic means ⋮ An extension theorem for conditionally additive functions and its application for the equality problem of quasi-arithmetic expressions

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