Statistically D-bounded sequences in probabilistic normed spaces

Sencimen C., Pehlivan S.

APPLICABLE ANALYSIS, cilt.88, sa.8, ss.1133-1142, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 88 Konu: 8
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1080/00036810903114742
  • Sayfa Sayıları: ss.1133-1142


In this study, the concept of a statistically D-bounded sequence in a probabilistic normed (PN) space endowed with the strong topology is introduced and its basic properties are investigated. It is shown that a strongly statistically convergent sequence and a strong statistically Cauchy sequence are statistically D-bounded under certain conditions. A sequence which goes far away from the limit point infinitely many times and presents random deviations in a PN space may be handled with the tools of strong statistical convergence and statistical D-boundedness.