Strong Gamma-Statistical Convergence in Probabilistic Normed Spaces


ŞENÇİMEN C., PEHLİVAN S.

ACTA MATHEMATICA VIETNAMICA, cilt.41, sa.4, ss.595-606, 2016 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Konu: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s40306-015-0158-4
  • Dergi Adı: ACTA MATHEMATICA VIETNAMICA
  • Sayfa Sayıları: ss.595-606

Özet

The concept of statistical cluster point of a sequence which presents random deviations is very important in the study of optimal paths and turnpike theory. In this study, we investigate some properties of the set of all strong statistical cluster points of a sequence in a probabilistic normed (PN) space in which the norms of the vectors are represented by probability distribution functions due to randomness. In this context, we also introduce the concept of strong I"-statistical convergence in a PN space, and examine some of its basic properties.