Hyperstability and Hyers-Ulam Stability of Quadratic Mappings Over Restricted Domains

This article is devoted to the analysis of Hyers–Ulam stability for quadratic and mixed-type functional equations on restricted domains, extending several known results. We provide improved bounds that refine the earlier findings of Jung [۱۲] and Rassias [۱۹]. Furthermore, we explore the hyperstability and asymptotic behavior of quadratic and mixed additive-quadratic mappings, illustrating the broader applicability of our approach.

کلیدواژه ها:

Quadratic functional equation ، Hyers--Ulam stability ، Hyperstability ، Asymptotic behavior