Hyers-Ulam-Rassias stability of functional equations with parameters
Fuente:
arXiv
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| Autores principales: | , , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912537390350336 |
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| author | Zhang, Jing Liu, Qi Hu, Yongmo Fu, Linlin Wang, Yuxin Xia, Jinyu Rassias, John Michael Park, Choonkil Li, Yongjin |
| author_facet | Zhang, Jing Liu, Qi Hu, Yongmo Fu, Linlin Wang, Yuxin Xia, Jinyu Rassias, John Michael Park, Choonkil Li, Yongjin |
| contents | This paper explores the Hyers-Ulam stability of generalized Jensen additive and quadratic functional equations in \(β\)-homogeneous \(F\)-space, showing that approximately satisfying mappings have a unique exact approximating counterpart within a specific bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10324 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyers-Ulam-Rassias stability of functional equations with parameters Zhang, Jing Liu, Qi Hu, Yongmo Fu, Linlin Wang, Yuxin Xia, Jinyu Rassias, John Michael Park, Choonkil Li, Yongjin Functional Analysis This paper explores the Hyers-Ulam stability of generalized Jensen additive and quadratic functional equations in \(β\)-homogeneous \(F\)-space, showing that approximately satisfying mappings have a unique exact approximating counterpart within a specific bound. |
| title | Hyers-Ulam-Rassias stability of functional equations with parameters |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2508.10324 |