Hyers-Ulam stability of functional equations with a square-symmetric operation
Abstract:
The stability of the functional equation f(x o y) = H(f(x), f(y)) (x, y ε S) is investigated, where H is a homogeneous function and o is a square- symmetric operation on the set S. The results presented include and generalize the classical theorem of Hyers obtained in 1941 on the stability of the Cauchy functional equation.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Fakultät für Mathematik – Mathematisches Institut I (Math. Inst. I) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsjahr | 1998 |
| Sprache | Englisch |
| Identifikator | ISSN: 0027-8424, 1091-6490 KITopen-ID: 107998 |
| Erschienen in | Proceedings of the National Academy of Sciences of the United States of America |
| Verlag | National Academy of Sciences |
| Band | 95 |
| Heft | 22 |
| Seiten | 12772-12775 |
| Erscheinungsvermerk | Proc. of the Nat. Acad. of Sci. of the USA 95 (1998) S. 12772-12775. |
| Bemerkung zur Veröffentlichung | Sonderdrucknummer 99S29 |
| Nachgewiesen in | Dimensions OpenAlex |