@article {
author = {Bidkham, M. and Hosseini, M.},
title = {Hyers-Ulam stability of K-Fibonacci functional equation},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {42-49},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.95},
abstract = {Let denote by Fk,n the nth k-Fibonacci number where Fk,n = kFk,n−1+Fk,n−2 for n 2 with initial conditions Fk,0 = 0, Fk,1 = 1, we may derive a functionalequation f(k, x) = kf(k, x − 1) + f(k, x − 2). In this paper, we solve thisequation and prove its Hyere-Ulam stability in the class of functions f : N×R ! X,where X is a real Banach space.},
keywords = {stability,Fibonacci functional equation},
url = {https://ijnaa.semnan.ac.ir/article_95.html},
eprint = {https://ijnaa.semnan.ac.ir/article_95_e74695e8f1e27bdde3cc846ede0714d7.pdf}
}