Remarks on the Hyers–Ulam stability of some systems of functional equations

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摘要

In this paper we present a method that allows to study the Hyers–Ulam stability of some systems of functional equations connected with the Cauchy, Jensen and quadratic equations. In particular we generalize and extend some already known results.

论文关键词:Hyers–Ulam stability,Multi-Cauchy–Jensen-quadratic function,Cauchy equation,Jensen equation,Quadratic equation

论文评审过程:Available online 9 November 2012.

论文官网地址:https://doi.org/10.1016/j.amc.2012.10.057