Τίτλος:
Cubic functional equations on restricted domains of lebesgue measure zero
Γλώσσες Τεκμηρίου:
Αγγλικά
Περίληψη:
Let X be a real normed space, Y a Banach space, and f f X → Y. We prove the Ulam-Hyers stability theorem for the cubic functional equation f (2x + y) + f (2x - y) - 2 f (x + y) - 2 f (x - y) - 12 f (x) = 0 in restricted domains. As an application we consider a measure zero stability problem of the inequality ∥ f (2x + y) + f (2x - y) - 2 f (x + y) - 2 f (x - y) - 12 f (x) ∥ ≤ ∈ for all (x, y) in Γ R2 of Lebesgue measure 0. © 2016 Canadian Mathematical Society.
Συγγραφείς:
Choi, C.-K.
Chung, J.
Ju, Y.
Rassias, J.
Περιοδικό:
CANADIAN MATHEMATICAL BULLETIN
Εκδότης:
Canadian Mathematical Society
DOI:
10.4153/CMB-2016-041-4
