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

SAVAŞ, EKREM; Rhoades, B.E.

doi:10.7153/mia-05-30

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

SAVAŞ E., Rhoades B.

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

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
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Uşak Üniversitesi Adresli: Hayır

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.