Quadratic functions satisfying an additional equation

Quadratic functions satisfying an additional equation

There is a result, due independently to Kurepa [14] and to Jurkat [12], which distinguishes linear functions or derivations from other additive functions as solutions to certain functional equations. The purpose of this paper is to prove an analogue of a part of this result, corresponding to derivat...

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Veröffentlicht in:Acta mathematica Hungarica 2020-10, Vol.162 (1), p.40-51
1. Verfasser: Amou, M.
Format: Artikel
Sprache:eng
Schlagworte:
Functional equations
Linear functions
Mathematics
Mathematics and Statistics
Quadratic equations
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Zusammenfassung:There is a result, due independently to Kurepa [14] and to Jurkat [12], which distinguishes linear functions or derivations from other additive functions as solutions to certain functional equations. The purpose of this paper is to prove an analogue of a part of this result, corresponding to derivations, for quadratic functions.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-020-01047-0