A. Baza

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Articles: 1

On the stability of radical functional equation in modular space

MFAT 30 (2024), no. 3-4, 108-116

108-116

In this work, we prove the generalised Hyer Ulam stability of the following functional equation \begin{equation} \phi(x)+\phi(y)+\phi(z)=q \phi\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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