A MEAN ERGODIC THEOREM VIA WEAK STATISTICAL CONVERGENCE
A MEAN ERGODIC THEOREM VIA WEAK STATISTICAL CONVERGENCE
M. Temizer Ersoy
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Abstract
In this article,  rstly we introduce weak statistical compactness and then, we prove a mean ergodic theorem by using this new concept. Since weak convergence implies weak statistical convergence, our result is a more generalization of Cohen,[3].
Keywords
Statistical convergence, weak convergence, mean ergodic theorem.