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Nearly (k, s)-Fibonacci functional equations in beta-normed spaces

Authors
Bidkham, M.Hosseini, M.Park, ChoonkilGordji, Madjid Eshaghi
Issue Date
Feb-2012
Publisher
Birkhauser Verlag
Keywords
Hyers-Ulam stability; (k, s)-Fibonacci functional equation; beta-Normed space.
Citation
Aequationes Mathematicae, v.83, no.1-2, pp 131 - 141
Pages
11
Indexed
SCIE
SCOPUS
Journal Title
Aequationes Mathematicae
Volume
83
Number
1-2
Start Page
131
End Page
141
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/166360
DOI
10.1007/s00010-011-0103-0
ISSN
0001-9054
1420-8903
Abstract
In this paper, we solve the (k, s)-Fibonacci functional equation f(k,s)(x) = kf(k,s)(x - 1) + sf(k,s) (x - 2). Moreover, we prove the Hyers-Ulam stability of the (k, s)-Fibonacci functional equation in beta-normed spaces.
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