Some relations between additive functions. I

DOI10.1007/BF01817757zbMath0194.17401OpenAlexW2030379777MaRDI QIDQ2538760

Svetozar Kurepa, Palaniappan Kannappan

Publication date: 1970

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

Full work available at URL: https://eudml.org/doc/136055

zbMATH Keywords

functional analysis

Related Items (16)

Polynomially linked additive functions. II ⋮ Linked pairs of additive functions ⋮ Characterizations of derivations on spaces of smooth functions ⋮ Hyers-Ulam stability of derivations and linear functions ⋮ Derivations and linear functions along rational functions ⋮ Certain functional identities on division rings ⋮ Multiadditive functions satisfying certain functional equations ⋮ Conditional equations for quadratic functions ⋮ Polynomially linked additive functions ⋮ Functional equations characterizing derivations and homomorphisms on fields ⋮ Characterizations of derivations ⋮ Some relations between additive functions. II ⋮ On the system of functional equations \(f(x+y) = f(x) + f(y)\) and \(f(xy) = p(x)f(y) + q(y)f(x)\) ⋮ On the functional equation of Cauchy ⋮ An alternative equation for polynomial functions ⋮ Characterizing ring derivations of all orders via functional equations: results and open problems

Cites Work

• Some unsolved problems in the theory of functional equations
• On Cauchy's Functional Equation
• On a system of functional equations
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