Hyers-Ulam-Rassias stability of functional equations with parameters
Functional Analysis
2025-08-15 v1
Abstract
This paper explores the Hyers-Ulam stability of generalized Jensen additive and quadratic functional equations in -homogeneous -space, showing that approximately satisfying mappings have a unique exact approximating counterpart within a specific bound.
Keywords
Cite
@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}
}