## 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, â€€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.