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arXiv · 2508.10324

Hyers-Ulam-Rassias stability of functional equations with parameters

Jing Zhang·Qi Liu·Yongmo Hu·Linlin Fu·Yuxin Wang·Jinyu Xia·John Michael Rassias·Choonkil Park·Yongjin Li
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Abstract

This paper explores the Hyers-Ulam stability of generalized Jensen additive and quadratic functional equations in \(\beta\)-homogeneous \(F\)-space, showing that approximately satisfying mappings have a unique exact approximating counterpart within a specific bound.

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Jing Zhang, Qi Liu, Yongmo Hu, Linlin Fu, Yuxin Wang, Jinyu Xia, John Michael Rassias, Choonkil Park, Yongjin Li. 2025-08-14. Hyers-Ulam-Rassias stability of functional equations with parameters. https://arxiv.org/abs/2508.10324

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