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

DOI10.1007/BF01817420zbMath0165.17202OpenAlexW2147971398MaRDI QIDQ2529723

Halina Światak

Publication date: 1968

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

Full work available at URL: https://eudml.org/doc/135977

zbMATH Keywords

functional analysis

Related Items (7)

Über die Funktionalgleichungf(a 0+a 1 x+a 2 y+a 3 xy)+g(b 0+b 1 x+b 2 y+b 3 xy=h(x)+k(y) ⋮ Characterizations of derivations ⋮ The functional equation \(f(x + y - xy) + f(xy) = f(x) + f(y)\) ⋮ A proof of the equivalence of the equation \(f(x+y-xy)+f(xy)=f(x)+f(y)\) and Jensen's functional equation ⋮ On the general solution of the functional equation \(f(x + y - xy) + f(xy) = f(x) + f(y)\) ⋮ Applications of extensions of additive functions ⋮ Special cases of the generalized Hosszú equation on interval

Cites Work

• On the general solution of a functional equation in the domain of distributions
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