On generalized sequence spaces via modulus function

Savaş E.

Journal of Inequalities and Applications, cilt.2014, sa.1, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2014 Sayı: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1186/1029-242x-2014-101
  • Dergi Adı: Journal of Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Almost convergence, Lacunary sequenceσ-function, Modulus function, Statistical convergence
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce and study the concept of lacunary strongly (A,σ)-convergence with respect to a modulus function and lacunary (A,σ)-statistical convergence and examine some properties of these sequence spaces. We establish some connections between lacunary strongly (A,σ)-convergence and lacunary (A,σ)-statistical convergence. © 2014 Savaş; licensee Springer.