On the functional equation \(f(\lambda (x)+g(y))=\mu (x)+h(x+y)\)

DOI10.1007/BF01836415zbMath0433.39011OpenAlexW4253867486MaRDI QIDQ1139223

Anders Lundberg

Publication date: 1977

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

Full work available at URL: https://eudml.org/doc/136671

zbMATH Keywords

generalized distributivity equation

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Iteration of real functions in one variable (26A18) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

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Cites Work

• Generalized distributivity for real, continuous functions. II: Local solutions in the continuous case
• On the uniqueness of the representation of functions in the form \(\Phi(x,y) = \varphi (f(x)+g(y))\)
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