Demiriz, SerkanKara, Emrah EvrenBaşarır, Metin2020-04-302020-04-3020151225-69510454-8124https://doi.org/10.5666/KMJ.2015.55.2.355https://hdl.handle.net/20.500.12684/3929Kara, Emrah Evren/0000-0002-6398-4065; BASARIR, Metin/0000-0002-4341-4399WOS: 000410276900013In the present paper, by using the Fibonacci difference matrix, we introduce the almost convergent sequence space (c) over cap (f). Also, we show that the spaces (c) over cap (f) and c are linearly isomorphic. Further, we determine the beta-dual of the space (c) over cap (f) and characterize some matrix classses on this space. Finally, Fibonacci core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.en10.5666/KMJ.2015.55.2.355info:eu-repo/semantics/openAccessSequence spacesalmost convergenceFibonacci matrixbeta-dual matrix transformationscore theoremsArticle552355372Q3N/A