Stability of generalized Jensen functional equation on a set of measure zero



Document title: Stability of generalized Jensen functional equation on a set of measure zero
Journal: Proyecciones (Antofagasta)
Database: PERIÓDICA
System number: 000406125
ISSN: 0716-0917
Authors: 1
1
1
1
Institutions: 1Universite Ibn Tofail, Faculte des Sciences, Kenitra. Marruecos
Year:
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
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