Double sequence spaces characterized by lacunary sequences

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Savaş E., Patterson R. F.

Applied Mathematics Letters, cilt.20, sa.9, ss.964-970, 2007 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 9
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.aml.2006.09.008
  • Dergi Adı: Applied Mathematics Letters
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.964-970
  • Anahtar Kelimeler: lacunary double sequences, almost lacunary sequences, P-convergent
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In 1989, Das and Patel considered known sequence spaces to define two new sequence spaces called lacunary almost convergent and lacunary strongly almost convergent sequence spaces, and proved two inclusion theorems with respect to those spaces. In this paper, we shall extend those spaces to two new double sequence spaces and prove multidimensional analogues of Das and Patel's results. © 2007 Elsevier Ltd. All rights reserved.