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Fuzzy Stability of Jensen-Type Quadratic Functional Equationsopen access

Authors
Jang, Sun-YoungLee, Jung RyePark, ChoonkilShin, Dong Yun
Issue Date
Jun-2009
Publisher
HINDAWI PUBLISHING CORPORATION
Citation
ABSTRACT AND APPLIED ANALYSIS, v.2009, pp.1 - 18
Indexed
SCIE
SCOPUS
Journal Title
ABSTRACT AND APPLIED ANALYSIS
Volume
2009
Start Page
1
End Page
18
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/176667
DOI
10.1155/2009/535678
ISSN
1085-3375
Abstract
We prove the generalized Hyers-Ulam stability of the following quadratic functional equations 2f((x + y)/2) + 2f((x - y)/2) = f(x) + f(y) and f(ax + ay) + (ax - ay) = 2a(2)f(x) = 2a(2)f(y) in fuzzy Banach spaces for a nonzero real number a with a not equal +/- 1/2.
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