Alp, YaseminKocer, E. Gokcen2024-02-232024-02-2320191310-51322367-8275https://doi.org/10.7546/nntdm.2019.25.1.167-177https://hdl.handle.net/20.500.12452/17143In this paper, we consider the space R(p, 1) of generalized Fibonacci sequences and orthogonal bases of this space. Using these orthogonal bases, we obtain the orthogonal projection onto a subspace R(p, 1) of R-n. By using the orthogonal projection, we obtain the identities for the generalized Fibonacci numbers.eninfo:eu-repo/semantics/openAccessFibonacci NumbersOrthogonal BasisArticle251167177WOS:00046209650001710.7546/nntdm.2019.25.1.167-177