Results on quasi-statistical limit and quasi-statistical cluster points

Abstract

In this paper we introduce the concepts of quasi-statistical limit point and quasi-statistical cluster point of a sequence. We give some inclusion results concerning these concepts. We also give the relationship between the Knopp core and quasi-statistical core of a sequence. Finally we state some theorems which deal with quasi-summability and quasi-statistical convergence of a sequence under some assumptions.

Keywords

• statistical convergence,quasi-statistical convergence,quasi-statistical limit points,quasi-statistical cluster points

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