Statistical order convergence in Riesz spaces

ŞENÇİMEN C., PEHLİVAN S.

MATHEMATICA SLOVACA, cilt.62, sa.2, ss.257-270, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 62 Konu: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.2478/s12175-012-0007-z
  • Dergi Adı: MATHEMATICA SLOVACA
  • Sayfa Sayıları: ss.257-270

Özet

In this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz space. Finally, we introduce the statistical order boundedness of a sequence in a Riesz space.