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A Linear Functional Equation of Third Order Associated with the Fibonacci Numbers

Authors
Jung, Soon-MoRassias, Michael Th.
Issue Date
Jun-2014
Publisher
HINDAWI PUBLISHING CORPORATION
Citation
ABSTRACT AND APPLIED ANALYSIS, v.2014, pp.1 - 7
Journal Title
ABSTRACT AND APPLIED ANALYSIS
Volume
2014
Start Page
1
End Page
7
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/16951
DOI
10.1155/2014/137468
ISSN
1085-3375
Abstract
Given a vector space X, we investigate the solutions f: R -> X of the linear functional equation of third order f (x) = pf (x - 1) + qf (x - 2) + rf (x - 3), which is strongly associated with a well-known identity for the Fibonacci numbers. Moreover, we prove the Hyers-Ulam stability of that equation.
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