A proof of the equivalence of the equation \(f(x+y-xy)+f(xy)=f(x)+f(y)\) and Jensen's functional equation

DOI10.1007/BF01833233zbMath0214.39102OpenAlexW4245668901MaRDI QIDQ2545440

Halina Światak

Publication date: 1971

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

Full work available at URL: https://eudml.org/doc/136163

Mathematics Subject Classification ID

General theory of functional equations and inequalities (39B05)

Related Items (4)

Hosszu's functional equation over rings generated by their units ⋮ Characterizations of derivations ⋮ On the functional equation f(m+n-mn)+f(mn)=f(m)+f(n) ⋮ The complete solution of Hosszu's functional equation over a field

Cites Work

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• Remarks on the functional equation \(f(x+y-xy) +f(xy) = f(x)+f(y)\)
• The functional equation \(f(x + y - xy) + f(xy) = f(x) + f(y)\)

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