Double sequences and Orlicz functions
Periodica Mathematica Hungarica, cilt.67, sa.1, ss.47-54, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 67 Sayı: 1
- Basım Tarihi: 2013
- Doi Numarası: 10.1007/s10998-013-6362-x
- Dergi Adı: Periodica Mathematica Hungarica
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.47-54
- Anahtar Kelimeler: double sequences, Orlicz functions, statistical convergence, strong A-summability
- Bilecik Şeyh Edebali Üniversitesi Adresli: Hayır
Özet
In this paper we define strong A-convergence with respect to an Orlicz function for double sequences. We show, on bounded double sequences, that statistical convergence and strong A-convergence with respect to any Orlicz function are equivalent. This eliminates a condition of Demirci for bounded single (ordinary) sequences. © 2013 Akadémiai Kiadó, Budapest, Hungary.