Relations de dépendance entre les équations fonctionnelles de Cauchy. (Inter-relations between Cauchy functional equations)

DOI10.1007/BF01830943zbMath0654.39003MaRDI QIDQ1108494

Jean Dhombres

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/137263

zbMATH Keywords

Cauchy functional equationsalien functional equationsfield endomorphismsinter-relations

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional equations and inequalities (39B99)

Related Items (21)

On the alienation of the exponential Cauchy equation and the Hosszú equation ⋮ Alienation of the logarithmic and exponential functional equations ⋮ Alienation of the Jensen, Cauchy and d'Alembert equations ⋮ On a general \(n\)-linear functional equation ⋮ A generalized ring homomorphisms equation ⋮ On the alienation of the logarithmic and exponential Cauchy equations ⋮ A universal Cauchy functional equation over the positive reals ⋮ Alienation and the stability problem ⋮ Additivity and exponentiality are alien to each other ⋮ Computer assisted investigation of alienness of linear functional equations ⋮ Alien Functional Equations: A Selective Survey of Results ⋮ Alienation of Drygas', Cauchy's, Jensen's and the quadratic equations on semigroups with an involutive automorphism ⋮ A note on alienation for functional inequalities ⋮ Error function inequalities ⋮ A characterization of quadratic-multiplicative mappings ⋮ On the functional inequality \(f(x)f(y)-f(xy)\le f(x)+f(y)-f(x+y)\) ⋮ Alienation of Drygas' and Cauchy's functional equations ⋮ Alienation of Cauchy's and the quadratic functional equations on semigroups ⋮ On a general bilinear functional equation ⋮ Alienation of two general linear functional equations ⋮ Characterizations of derivations

Cites Work

• Autour de f(x)f(y)-f(xy)
• Quelques aspects de l'histoire des équations fonctionnelles liées à l'évolution du concept de fonction. (Some aspects of the history of functional equations combined with the development of the of concept function)
• Utilisation des équations fonctionnelles pour la caractérisation des espaces préhilbertiens
• Automorphisms of the Field of Complex Numbers
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