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Mathematical Communications, Vol. 12 No. 1, 2007.

Original scientific paper

Statistical convergence on probalistic normed spaces

Sevda Karakus

Full text: english pdf 153 Kb

page 11-23

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Abstract

In this paper we define concepts of statistical convergence
and statistical Cauchy on probabilistic normed spaces. Then we
give a useful characterization for statistically convergent sequences. Furthermore, we display an example such that our method of convergence is stronger than the usual convergence on probabilistic normed spaces. We also introduce statistical limit points, statistical cluster points on probabilistic normed spaces and then we give the relations between these and limit points of sequence on probabilistic normed spaces.

Keywords

natural density; statistical convergence; continuous t−norm; probabilistic normed space

Hrčak ID:

12595

URI

https://hrcak.srce.hr/12595

Publication date:

31.5.2007.

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