On the $(C,\alpha )$ uniform ergodic theorem
Volume 156 / 2003
Studia Mathematica 156 (2003), 3-13
MSC: 47A35, 47A10.
DOI: 10.4064/sm156-1-1
Abstract
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 $\alpha >0$.
