On some Pexider--type functional equations connected with the absolute value of additive function. Part II

Authors

  • Barbara Przebieracz

Keywords:

Pexider functional equations, Cauchy equations,

Abstract

We investigate Pexider--type functional equation $$\max\{f(x+y),f(x-y)\}=f(x)g(y)+h(y),\quad x,y\in G,$$ where $f$, $g$, $h$ are real functions defined on an abelian group $G$. We solve this equation under the assumptions $G=\R$ and $f$ is continuous. DOI: 10.1017/S0004972711002693

Published

2012-02-27

Issue

Vol. 85 No. 2 (2012)

Section

Articles
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