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math.FA2025
Stability of quadratic functional equation in modular spaces
Abderrahman Baza, Mohamed Rossafi, Arul Joseph Gnanaprakasam
In this paper, we study the Hyers-Ulam stability of the following equation \begin{multline*} ϕ(x+y-z)+ϕ(x+z-y)+ϕ(y+z-x)=ϕ(x-y)+ϕ(x-z)+ϕ(z-y) +ϕ(x)+ϕ(y) +ϕ(z) \end{multline*} in mod…
math.FA2024
Hyperstability of some functional equations in modular spaces
Abderrahman Baza, Mohamed Rossafi, Mohammed Mouniane
In this paper, we investigate some hyperstability results, inspired by the concept of Ulam stability, for the following functional equations: \begin{equation} φ(x+y)+φ(x-y)=2φ(x)+2…
math.FA2024
On the stability of radical functional equation in modular space
Abderrahman Baza, Mohamed Rossafi
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}}…