Statistically boundedness and statistical core of double sequences


Cakan C., Altay B.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.317, ss.690-697, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 317 Konu: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.jmaa.2005.06.006
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.690-697

Özet

The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003. Throughout this paper we will present multidimensional analogues of the results presented by Fridy and Orhan in 1997. To achieve this goal multidimensional analogues of the definition for bounded statistically sequences, statistical inferior and statistical superior will be presented. In addition to these results we will investigate statistical core for double sequences and study an inequality related to the statistical and P-cores of bounded double sequences. (C) 2005 Elsevier Inc. All rights reserved.