On alternatives equivalent to the Cauchy functional equation and a related equation

DOI10.1007/BF02188012zbMath0498.39005MaRDI QIDQ1171225

Halina Światak

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/136891

zbMATH Keywords

semigroupgroupCauchy functional equationalternative functional equations

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional equations and inequalities (39B99)

Cites Work

• Unnamed Item
• On some alternative functional equations
• Beitrag zur Theorie der Cauchyschen Funktionalgleichungen
• On two functional equationes connected with the equation \(\phi(x + y) + \phi(x - y) = 2\phi(x) + 2\phi(y)\)
• On Some New Generalizations of the Functional Equation of Cauchy
• Sur l'équivalence des équations fonctionnelles $f \left(x+y \right)= f \left(x \right)+ f \left(y \right) ~\hbox{et}~ f^2 \left(x+y \right)= {\left[f \left(x \right) + f \left(y \right)\right}^2 $]

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