A characterization of some classes of functions F of the form \(F(x,y)=g(\alpha f(x)+\beta f(y)+\gamma)\) or \(F(x,y)=\phi (h(x)+k(y))\)

DOI10.1007/BF02189678zbMath0563.39006MaRDI QIDQ1057433

Daniela Rusconi, Luigi Paganoni

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/136996

zbMATH Keywords

representationmonotonic functionspseudoinversescontinuoustransposeassociativecommutativebisymmetric

Mathematics Subject Classification ID

Monotonic functions, generalizations (26A48) Functional equations and inequalities (39B99)

Cites Work

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• Certain functional equations on groupoids weaker than quasigroups
• Generalized associativity and bisymmetry on quasigroups
• The Generalized Equations of Bisymmetry Associativity and Transitivity on Quasigroups
• On mean values

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