On Statistical Boundedness of Metric Valued Sequences

Authors

  • Mehmet Kucukaslan Mersin University
  • Ugur Deger Mersin University

Keywords:

Statistical convergence, metric spaces, statistical boundedness, asymptotic density

Abstract

In this work, statistical boundedness  is defined in a metric space
and, statistical boundedness of metric valued sequences and their
subsequences are studied. The interplay between the statistical
boundedness and boundedness in a metric spaces are also studied, and
it is shown that boundedness imply statistical boundedness and if
the number of elements of the metric space is finite then these two
concepts coincide. Moreover, here is given analogy of
Balzano-Weierstrass Theorem.

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Published

2012-05-14

Issue

Vol. 5 No. 2: (April 2012)

Section

Mathematical Physics

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How to Cite

On Statistical Boundedness of Metric Valued Sequences. (2012). European Journal of Pure and Applied Mathematics, 5(2), 174-186. https://www.ejpam.com/index.php/ejpam/article/view/1518