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

Authors : İlknur ÖZGÜÇ

Pages : 646-653

Doi:10.31801/cfsuasmas.567734

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Publication Date : 2020-06-30

Article Type : Research Paper

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