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On the stability of an AQCQ-functional equation in random normed spacesopen access

Authors
Park, ChoonkilJang, Sun YoungLee, Jung RyeShin, Dong Yun
Issue Date
Aug-2011
Publisher
SPRINGEROPEN
Keywords
random normed space; additive-quadratic-cubic-quartic functional equation; Hyers-Ulam stability
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 12
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF INEQUALITIES AND APPLICATIONS
Start Page
1
End Page
12
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/167822
DOI
10.1186/1029-242X-2011-34
ISSN
1025-5834
Abstract
In this paper, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x+2y)+f(x-2y)=4f(x+y)+4f(x-y)-6f(x)+f(2y)+f(-2y)-4f(y)-4f(-y) in random normed spaces.
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