A MEAN ERGODIC THEOREM VIA WEAK STATISTICAL CONVERGENCE

A MEAN ERGODIC THEOREM VIA WEAK STATISTICAL CONVERGENCE

In this article, firstly 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,...

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Veröffentlicht in:TWMS journal of applied and engineering mathematics 2022-07, Vol.12 (3), p.1145
1. Verfasser: Ersoy, M. Temizer
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Convergence
Convergence (Mathematics)
Equality
Ergodic processes
Ergodic theory
Mathematical research
Theorems
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Zusammenfassung:In this article, firstly 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. AMS Subject Classification: 40C05, 40J05, 46A45, 47A35.
ISSN:2146-1147
2146-1147