Stability of generalized Cauchy equations
Abstract:
We investigate the stability of the functional equation $\textit{f(xy) = g(x)h(y) + k(y)}$ on amenable semigroups. This equation is a common generalization of two Pexider equations stemming from Cauchy’s additive and multiplicative functional equations, and it is a simple case of the Levi-Civita equation.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsjahr | 2015 |
| Sprache | Englisch |
| Identifikator | ISSN: 0001-9054 KITopen-ID: 1000060819 |
| Erschienen in | Aequationes mathematicae |
| Verlag | Springer |
| Band | 89 |
| Heft | 1 |
| Seiten | 49-56 |
| Schlagwörter | Cauchy equations, stability in the sense of Hyers–Ulam, Pexider equations, Levi-Civita functional equation |
| Nachgewiesen in | Web of Science OpenAlex Scopus Dimensions |