On the $(C,\alpha )$ uniform ergodic theorem
Studia Mathematica, Tome 156 (2003) no. 1, pp. 3-13

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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 $\alpha >0$.
DOI : 10.4064/sm156-1-1
Keywords: improve recent result yoshimoto about uniform ergodic theorem ces means order alpha necessary sufficient condition alpha uniform ergodicity alpha

Elmouloudi Ed-dari 1

1 Faculté des sciences Jean Perrin Université d'Artois SP 18 62307 Lens Cedex, France
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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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