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arXiv · 2406.15436

Stability of additive-quadratic functional equation in modular space

Abderrahman Baza·Mohamed Rossafi·Choonkil Park
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Abstract

Using the direct method, we prove the generalised Hyers-Ulam stability of the following functional equation \begin{equation} ϕ(x+y, z+w)+ϕ(x-y, z-w)-2 ϕ(x, z)-2 ϕ(x, w)=0 \end{equation} in modular space satisfying the Fatou property or $Δ_2$-condition.

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Abderrahman Baza, Mohamed Rossafi, Choonkil Park. 2024-05-29. Stability of additive-quadratic functional equation in modular space. https://arxiv.org/abs/2406.15436

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