Difference sequence spaces derived by using a generalized weighted mean

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Polat H., KARAKAYA V., ŞİMŞEK N.

Applied Mathematics Letters, cilt.24, sa.5, ss.608-614, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 5
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.aml.2010.11.020
  • Dergi Adı: Applied Mathematics Letters
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.608-614
  • Anahtar Kelimeler: Difference sequence space, Generalized weighted mean, AK and AD properties, The alpha-, beta- and gamma-duals and bases of sequences, Matrix mappings
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this work, we define new sequence spaces by combining a generalized weighted mean and a difference operator. Afterward, we investigate topological structures, which have completeness, AK-property, and AD-property. Also, we compute the α-, β- and γ-duals, and obtain bases for these sequence spaces. Finally, the necessary and sufficient conditions on an infinite matrix belonging to the classes (c(u,ν,Δ):ℓ∞) and (c(u, ν,Δ):c) are obtained. © 2011 Elsevier Ltd. All rights reserved.