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arXiv · 2505.07822

Stability of quadratic functional equation in modular spaces

Abderrahman Baza·Mohamed Rossafi·Arul Joseph Gnanaprakasam
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Abstract

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 modular space, with or without $Δ_2$-condition, and in $β$-homogeneous Banach space.

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Abderrahman Baza, Mohamed Rossafi, Arul Joseph Gnanaprakasam. 2025-04-13. Stability of quadratic functional equation in modular spaces. https://arxiv.org/abs/2505.07822

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