Quadratic functions fulfilling an additional condition along hyperbolas or the unit circle

DOI10.1007/S00010-018-0591-2zbMath1414.39011OpenAlexW2890283788MaRDI QIDQ1736319

Edit Garda-Mátyás

Publication date: 26 March 2019

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

Full work available at URL: https://doi.org/10.1007/s00010-018-0591-2

zbMATH Keywords

quadratic functionbi-additive functionconditional equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (2)

Quadratic functions fulfilling an additional condition along the hyperbola \(xy = 1 \) ⋮ Quadratic functions satisfying an additional equation

Cites Work

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• A conditional equation for additive functions
• Algebraic conditions for additive functions over the reals and over finite fields
• Conditional equations for quadratic functions
• An alternative equation for polynomial functions
• Some unsolved problems in the theory of functional equations
• A regularity condition for quadratic functions involving the unit circle
• On Cauchy's Functional Equation
• On a system of functional equations

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