Generalized distributivity for real, continuous functions. II: Local solutions in the continuous case

DOI10.1007/BF02189416zbMath0568.39006MaRDI QIDQ1060362

Anders Lundberg

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/137062

zbMATH Keywords

dimensionextensiondistributiveisotopyrestrictioncomponentscontinuouslocal solutiondifferentiablemonotonicbodypiecewise convexphilandering linear functionsregion

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Monotonic functions, generalizations (26A48) Functional equations and inequalities (39B99)

Related Items (2)

On the functional equation \(f(\lambda (x)+g(y))=\mu (x)+h(x+y)\) ⋮ Ambiguity and endogenous discounting

Cites Work

• Unnamed Item
• On the functional equation \(f(\lambda (x)+g(y))=\mu (x)+h(x+y)\)
• Uniqueness theorems for the representation \(\varphi(f(x)g(y)+h(y))\)
• Generalized distributivity for real, continuous functions. I: Structure theorems and surjective solutions

This page was built for publication: Generalized distributivity for real, continuous functions. II: Local solutions in the continuous case