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.