4 papers
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*} Ï(x+y-z)+Ï(x+z-y)+Ï(y+z-x)=Ï(x-y)+Ï(x-z)+Ï(z-y) +Ï(x)+Ï(y) +Ï(z) \end{multline…
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} Ï(x+y)+Ï(x-y)=2Ï(x…
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} Ï(x)+Ï(y)+Ï(z)=q Ï\left(\sqrt[s]{\frac{x^s+y^s+z^s}…
Stability of additive-quadratic functional equation in modular space
Abderrahman Baza, Mohamed Rossafi, Choonkil Park
Using the direct method, we prove the generalised Hyers-Ulam stability of the following functional equation \begin{equation} Ï(x+y, z+w)+Ï(x-y, z-w)-2 Ï(x, z)-2 Ï(x, w)=0 \end{…