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    STUDIA MATHEMATICA - Issue no. 3 / 2014  
         
  Article:   STATISTICAL CONVERGENCE ON PROBABILISTIC MODULAR SPACES.

Authors:  .
 
       
         
  Abstract:   In this work, we introduce the concepts of statistical convergence and statistical Cauchy sequence on probabilistic modular spaces. After giving some useful characterizations for statistically convergent sequences, we display an example such that our method of convergence works but its classical case does not work. Also we defi ne statistical limit points, statistical cluster points on probabilistic modular spaces. Finally, we give the relations between these notions and limit points of sequences on probabilistic modular spaces.

Mathematics Subject Classi fication (2010): 40A05, 40A35, 40B05, 42A45.

Keywords: natural density, statistical convergence, modular space, probabilistic modular space.
 
         
     
         
         
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