On some new sequence spaces of invariant means defined by Orlicz functions

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SAVAŞ E., Rhoades B.

Mathematical Inequalities and Applications, cilt.5, sa.2, ss.271-281, 2002 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 2
  • Basım Tarihi: 2002
  • Doi Numarası: 10.7153/mia-05-30
  • Dergi Adı: Mathematical Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.271-281
  • Anahtar Kelimeler: Invariant mean, Lacunary sequence, Orlicz function
  • Uşak Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to introduce and study some sequence spaces which are defined by combining the concepts of a Orlicz function, invariant mean and lacunary convergence. We also examine some topological properties of these spaces and establish some elementary connections between lacunary [w]σ -convergence and lacunary [w]σ -convergence with respect to an Orlicz functions which satisfy a Δ2 -condition.