TITLE

Stability of Pexiderized quadratic functional equation on a set of measure zero

AUTHOR(S)
EL-Fassi, Iz-iddine; Chahbi, Abdellatif; Kabbaj, Samir; Park, Choonkil
PUB. DATE
June 2016
SOURCE
Journal of Nonlinear Sciences & Applications (JNSA);2016, Vol. 9 Issue 6, p4554
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Let R be the set of real numbers and Y a Banach space. We prove the Hyers-Ulam stability theorem when f; h : R → Y satisfy the following Pexider quadratic inequality ‖f(x + y) + f(x - y) - 2f(x) - 2h(y)‖ ≤ ε, in a set Ω ⊂ R2 of Lebesgue measure m(Ω) = 0.
ACCESSION #
118944465

 

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