Stability of generalized Jensen functional equation on a set of measure zero
نویسندگان
چکیده
منابع مشابه
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We establish a generalized Hyers–Ulam–Rassias stability theorem in the fuzzy sense. In particular, we introduce the notion of fuzzy approximate Jensen mapping and prove that if a fuzzy approximate Jensen mapping is continuous at a point, then we can approximate it by an everywhere continuous Jensen mapping. As a fuzzy version of a theorem of Schwaiger, we also show that if every fuzzy approxima...
متن کاملStability of Generalized Jensen Equation on Restricted Domains
In this paper, we establish the conditional Hyers-Ulam-Rassias stability of the generalized Jensen functional equation r f ( sx+ty r ) = s g(x) + t h(y) on various restricted domains such as inside balls, outside balls, and punctured spaces. In addition, we prove the orthogonal stability of this equation and study orthogonally generalized Jensen mappings on Balls in inner product spaces.
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ژورنال
عنوان ژورنال: Proyecciones (Antofagasta)
سال: 2016
ISSN: 0716-0917
DOI: 10.4067/s0716-09172016000400007