In (Brzdęk and Schwaiger in Aeq Math 92: 975–991, 2018) solutions of far reaching generalizations of the so-called radical functional equation\(f(p(\pi (x)+\pi (y)))=f(x)+f(y)\) have been investigated. These investigations are continued here by analysing the corresponding stability results, which have been the main subject of several recent papers. We propose a very general and uniform approach.

中文翻译：

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广义自由基泛函方程的Hyers-Ulam稳定性研究

在（Brzdękand Schwaiger in Aeq Math 92：975–991，2018）的解决方案中，对所谓的基本函数方程\（f（p（\ pi（x）+ \ pi（y）））= f的深远推广（x）+ f（y）\）已被调查。通过分析相应的稳定性结果来继续进行这些研究，这些结果一直是最近几篇论文的主题。我们提出了一种非常通用和统一的方法。