On strong double matrix summability via ideals

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Savaş E.

Filomat, cilt.26, sa.6, ss.1143-1150, 2012 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.2298/fil1206143s
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1143-1150
  • Anahtar Kelimeler: Ideal, filter, A(I)-double statistical convergence, strong A(I)-double summability, Orlicz function
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper, we define some new double sequence spaces by combining the notion of ideal, Orlicz function and nonnegative four dimensional matrix. We make certain investigations on the classes of sequences arising out of this new summability method. In addition, we shall establish inclusion theorems between these spaces and other sequence spaces.