Further aspects of quasi statistical convergence of sequences


In this paper, we introduce the concept of quasi statistical supremum, quasi statistical infimum of a real-valued sequence x=(x_{k}), and study some properties of the newly introduced notion. We also introduce the concept of quasi statistical monotonicity and establish the condition under which a quasi statistical monotonic sequence is quasi statistical convergent. We end up by giving a necessary and sufficient condition for the quasi statistical convergence of a real-valued sequence x=(x_{k}).

DOI Code: 10.1285/i15900932v43n2p55

Keywords: Quasi-density; quasi statistical convergence; quasi statistical monotonicity

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