On the $(C,\alpha )$ uniform ergodic theorem
    
    
  
  
  
      
      
      
        
Studia Mathematica, Tome 156 (2003) no. 1, pp. 3-13
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
            
              We improve a recent result of T. Yoshimoto about the uniform ergodic theorem with Cesàro means of order $\alpha $. We give a necessary and sufficient condition for the $(C,\alpha )$ uniform ergodicity with $\alpha >0$.
            
            
            
          
        
      
                  
                    
                    
                    
                        
Keywords: 
improve recent result yoshimoto about uniform ergodic theorem ces means order alpha necessary sufficient condition alpha uniform ergodicity alpha
                    
                    
                    
                  
                
                
                
                
                
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              Elmouloudi Ed-dari 1
@article{10_4064_sm156_1_1,
     author = {Elmouloudi Ed-dari},
     title = {On the $(C,\alpha )$ uniform ergodic theorem},
     journal = {Studia Mathematica},
     pages = {3--13},
     publisher = {mathdoc},
     volume = {156},
     number = {1},
     year = {2003},
     doi = {10.4064/sm156-1-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm156-1-1/}
}
                      
                      
                    Elmouloudi Ed-dari. On the $(C,\alpha )$ uniform ergodic theorem. Studia Mathematica, Tome 156 (2003) no. 1, pp. 3-13. doi: 10.4064/sm156-1-1
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