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arXiv · 2410.09082

Hyperstability of some functional equations in modular spaces

Abderrahman Baza·Mohamed Rossafi·Mohammed Mouniane
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Abstract

In this paper, we investigate some hyperstability results, inspired by the concept of Ulam stability, for the following functional equations: \begin{equation} \varphi(x+y)+\varphi(x-y)=2\varphi(x)+2\varphi(y) \end{equation} \begin{equation} \varphi(ax+by) = A\varphi(x)+B\varphi(y)+C \end{equation} \begin{equation}\label{eqnd} f\left(\sum_{i=1}^{m}x_{i}\right)+\sum_{1\leq i<j\leq m}f\big(x_{i}-x_{j}\big)=m\sum_{i=1}^{m}f(x_{i}) \end{equation} in modular spaces.

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Abderrahman Baza, Mohamed Rossafi, Mohammed Mouniane. 2024-10-05. Hyperstability of some functional equations in modular spaces. https://arxiv.org/abs/2410.09082

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