On the Fibonacci Almost Convergent Sequence Space and Fibonacci Core      
Yazarlar (3)
Prof. Dr. Serkan DEMİRİZ Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Emrah Evren Kara
Düzce Üniversitesi, Türkiye
Metin Başarır
Sakarya Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayınlanan tam makale
Dergi Adı Kyungpook Mathematical Journal
Dergi ISSN 1225-6951 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler Mathematical Reviews, Scopus, Zentralblatt für Mathematik, Excellence in Research for Australia(ERA) and Korea Science Citation Index.
Makale Dili İngilizce
Basım Tarihi 01-2015
Cilt No 55
Sayı 2
Sayfalar 355 / 372
DOI Numarası 10.5666/KMJ.2015.55.2.355
Makale Linki https://kmj.knu.ac.kr/journal/view.html?uid=1999&volume=55&number=2&spage=355&vmd=Full
Özet
In the present paper, by using the Fibonacci difference matrix, we introduce the almost convergent sequence space cf. Also, we show that the spaces cf and c are linearly isomorphic. Further, we determine the β-dual of the space cf 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.
Anahtar Kelimeler
Almost convergence | Core theorems | Fibonacci matrix | Matrix transformations | Sequence spaces | β-dual