Statistically boundedness and statistical core of double sequences

By Celal Çakan, Bilâl Altay. 2006

88 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/56539882bb6869d706e65a9a6ed130c5d30eead1

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In Applied Mathematics

In Numerical Analysis

In Statistics and Probability

Citations in the corpus

Generalized statistical convergence and statistical core of double sequences (2010, methodology): “By the same methods used in the above theorems and Theorem 3.4 in [ 20 ], we can prove the following Theorem 4.10 For every x ∈ � ∞ ,”
Measure theory of statistical convergence (2008, background): “For different purposes, there have been many generalizations of statistical convergence, such as A-statistical convergence in [22, 23, 26, 34, 35, 37, 47, 59, 119, 121], lacunary statistical convergence in [28, 81], uniformly statistical convergence in [57, 88], (strong) λ-statistical convergence in”