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arXiv · 2408.10225

On the stability of radical functional equation in modular space

Abderrahman Baza·Mohamed Rossafi
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Abstract

In this work, we prove the generalised Hyer Ulam stability of the following functional equation \begin{equation}\label{Eq-1} ϕ(x)+ϕ(y)+ϕ(z)=q ϕ\left(\sqrt[s]{\frac{x^s+y^s+z^s}{q}}\right),\qquad |q| \leq 1 \end{equation} and $s$ is an odd integer such that $s\geq 3$, in modular space, using the direct method, and the fixed point theorem.

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Abderrahman Baza, Mohamed Rossafi. 2024-08-01. On the stability of radical functional equation in modular space. https://arxiv.org/abs/2408.10225

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