| Journal: | Proyecciones (Antofagasta) |
| Database: | PERIÓDICA |
| System number: | 000406103 |
| ISSN: | 0716-0917 |
| Authors: | Fadli, B1 Chahbi, A1 El-Fassi, I1 Kabbaj, S1 |
| Institutions: | 1Universite Ibn Tofail, Faculte des Sciences, Kenitra. Marruecos |
| Year: | 2016 |
| Season: | Jun |
| Volumen: | 35 |
| Number: | 2 |
| Pages: | 213-223 |
| Country: | Chile |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | We determine the solutions f : S → H of the generalized Jensen’s functional equation f(x + σ(y)) + f(x + τ(y)) = 2f(x), x, y ∈ S, and the solutions f : S → H of the generalized quadratic functional equation f(x + σ(y)) + f(x + τ (y)) = 2f(x)+2f(y), x, y ∈ S, where S is a commutative semigroup, H is an abelian group (2-torsion free in the first equation and uniquely 2-divisible in the second) and σ, τ are two involutions of S |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Ecuaciones funcionales, Teoría de grupos, Ecuación funcional de Jensen |
| Keyword: | Mathematics, Pure mathematics, Functional equations, Group theory, Jensen's functional equation |
| Full text: | Texto completo (Ver PDF) |
