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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*} \phi(x+y-z)+\phi(x+z-y)+\phi(y+z-x)=\phi (x-y)+\phi(x-z)+\phi(z-y) +\phi(x)+\phi(y) +\phi(z) \end{multline*} in modular space, with or without $\Delta_2$-condition, and in $\beta$-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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