Journal: | Proyecciones (Antofagasta) |
Database: | PERIÓDICA |
System number: | 000406125 |
ISSN: | 0716-0917 |
Authors: | Dimou, Hajira1 Aribou, Youssef1 Chahbi, Abdellatif1 Kabbaj, Samir1 |
Institutions: | 1Universite Ibn Tofail, Faculte des Sciences, Kenitra. Marruecos |
Year: | 2016 |
Season: | Dic |
Volumen: | 35 |
Number: | 4 |
Pages: | 457-468 |
Country: | Chile |
Language: | Inglés |
Document type: | Artículo |
Approach: | Analítico |
English abstract | Let E is a complex vector space and F is real (or complex ) Banach space. In this paper, we prove the Hyers-Ulam stability for the generalized Jensen functional equation m X−1 k=0 f(x + bky) = mf(x), x, y ∈ E, where f : E → F and bk = exp( 2iπk m ) for 0 ≤ k ≤ m − 1, on a set of Lebesgue measure 0 |
Disciplines: | Matemáticas |
Keyword: | Matemáticas puras, Ecuaciones funcionales, Ecuación funcional de Jensen, Teoría de la estabilidad, Espacios de Banach |
Keyword: | Mathematics, Pure mathematics, Functional equations, Jensen's functional equation, Stability theory, Banach spaces |
Full text: | Texto completo (Ver PDF) |