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On a quadratic difference assuming three values

On a quadratic difference assuming three values The aim of this work is to investigate the alternative quadratic functional equation $$\begin{aligned} f(x+y)+f(x-y)-2f(x)-2f(y)\in \{0,1,2\}, \end{aligned}$$ f ( x + y ) + f ( x - y ) - 2 f ( x ) - 2 f ( y ) ∈ { 0 , 1 , 2 } , where $$f{: }G \rightarrow \mathbb {R}$$ f : G → R , G is an Abelian group, and provide a procedure for the construction of the solutions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png aequationes mathematicae Springer Journals

On a quadratic difference assuming three values

Forti, Gian
aequationes mathematicae , Volume 93 (1) – Aug 13, 2018
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References (12)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Mathematics; Analysis; Combinatorics
ISSN
0001-9054
eISSN
1420-8903
DOI
10.1007/s00010-018-0587-y
Publisher site
See Article on Publisher Site

Abstract

The aim of this work is to investigate the alternative quadratic functional equation $$\begin{aligned} f(x+y)+f(x-y)-2f(x)-2f(y)\in \{0,1,2\}, \end{aligned}$$ f ( x + y ) + f ( x - y ) - 2 f ( x ) - 2 f ( y ) ∈ { 0 , 1 , 2 } , where $$f{: }G \rightarrow \mathbb {R}$$ f : G → R , G is an Abelian group, and provide a procedure for the construction of the solutions.

Journal

aequationes mathematicae – Springer Journals

Published: Aug 13, 2018

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