Double sequences and Orlicz functions

YURDAKADİM T., Tas E.

Periodica Mathematica Hungarica, cilt.67, sa.1, ss.47-54, 2013 (SCI-Expanded) identifier

  • 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.