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On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi-Banach Spacesopen access

Authors
Gordji, M. EshaghiAbbaszadeh, S.Park, Choonkil
Issue Date
Oct-2009
Publisher
SPRINGER
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 26
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF INEQUALITIES AND APPLICATIONS
Start Page
1
End Page
26
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/176060
DOI
10.1155/2009/153084
ISSN
1025-5834
Abstract
We establish the general solution of the functional equation f(nx + y) + f(nx - y) = n(2)f(x - y) + 2(f(nx) - n(2)f(x)) -2(n(2) - 1)f(y) for fixed integers n with n not equal 0,+/- 1 and investigate the generalized Hyers-Ulam stability of this equation in quasi-Banach spaces.
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