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On the Stability of a Cubic Functional Equation

Authors
Najati, AbbasPark, Choonkil
Issue Date
Dec-2008
Publisher
SPRINGER HEIDELBERG
Keywords
Hyers-Ulam-Rassias stability; cubic functional equation
Citation
ACTA MATHEMATICA SINICA-ENGLISH SERIES, v.24, no.12, pp.1953 - 1964
Indexed
SCIE
SCOPUS
Journal Title
ACTA MATHEMATICA SINICA-ENGLISH SERIES
Volume
24
Number
12
Start Page
1953
End Page
1964
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/171757
DOI
10.1007/s10114-008-6560-2
ISSN
1439-8516
Abstract
In this paper, we will find out the general solution and investigate the generalized Hyers Ulam-Rassias stability problem for the following cubic functional equation 2f(x + 2y) + f(2x - y) = 5f(x + y) + 5f(x - y) + 15f(y) in the spirit of Hyers, Ulam, Rassias and Gavruta.
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