On a quadratic difference assuming three values
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DOI: 10.1007/s00010-018-0587-y
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)-2f(x)-2f(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… read more here.
Keywords: difference assuming; three values; assuming three; quadratic difference ... See more keywords