On the Fibonacci Almost Convergent Sequence Space and Fibonacci Core

• Journal title : Kyungpook mathematical journal
• Volume 55, Issue 2,  2015, pp.355-372
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2015.55.2.355
Title & Authors
On the Fibonacci Almost Convergent Sequence Space and Fibonacci Core
DEMIRIZ, SERKAN; KARA, EMRAH EVREN; BASARIR, METIN;

Abstract
In the present paper, by using the Fibonacci difference matrix, we introduce the almost convergent sequence space $\small{\hat{c}^f}$. Also, we show that the spaces $\small{\hat{c}^f}$and $\small{\hat{c}}$ are linearly isomorphic. Further, we determine the $\small{{\beta}}$-dual of the space $\small{\hat{c}^f}$ 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.
Keywords
Sequence spaces;almost convergence;Fibonacci matrix;$\small{{\beta}}$-dual;matrix transformations;core theorems;
Language
English
Cited by
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