含参函数方程的 Hyers-Ulam-Rassias 稳定性
泛函分析
2025-08-15 v1
摘要
本文探讨了广义 Jensen 加性与二次函数方程在 β-齐次 F-空间中的 Hyers-Ulam 稳定性，证明了近似满足的映射在特定界限内存在唯一的精确逼近对应。
引用
@article{arxiv.2508.10324,
title = {Hyers-Ulam-Rassias stability of functional equations with parameters},
author = {Jing Zhang and Qi Liu and Yongmo Hu and Linlin Fu and Yuxin Wang and Jinyu Xia and John Michael Rassias and Choonkil Park and Yongjin Li},
journal= {arXiv preprint arXiv:2508.10324},
year = {2025}
}