A generalized statistical convergence via ideals

Savas E., Das P.

Applied Mathematics Letters, cilt.24, sa.6, ss.826-830, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 6
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.aml.2010.12.022
  • Dergi Adı: Applied Mathematics Letters
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.826-830
  • Anahtar Kelimeler: Closed subspace, Filter, I- [V,λ]-summability, I-λ-statistical convergence, I-statistical convergence, Ideal
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper we make a new approach to the notions of [V,λ]- summability and λ-statistical convergence by using ideals and introduce new notions, namely, I-[V,λ]-summability and I-λ-statistical convergence. We mainly examine the relation between these two new methods as also the relation between I-λ-statistical convergence and I-statistical convergence introduced by the authors recently. We carry out the whole investigation in normed linear spaces. © 2010 Elsevier Ltd. All rights reserved.