We improve a recent result of T. Yoshimoto about the uniform ergodic theorem with Cesàro means of order α. We give a necessary and sufficient condition for the (C,α) uniform ergodicity with α > 0.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm156-1-1, author = {Elmouloudi Ed-dari}, title = {On the (C,$\alpha$) uniform ergodic theorem}, journal = {Studia Mathematica}, volume = {157}, year = {2003}, pages = {3-13}, zbl = {1052.47005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm156-1-1} }
Elmouloudi Ed-dari. On the (C,α) uniform ergodic theorem. Studia Mathematica, Tome 157 (2003) pp. 3-13. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm156-1-1/