Further aspects of quasi statistical convergence of sequences
Abstract
In this paper, we introduce the concept of quasi statistical supremum, quasi statistical infimum of a real-valued sequence
, 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})](http://siba-ese.unile.it/plugins/generic/latexRender/cache/8933e829b5276023e8f318c1e40d1253.png)
![x=(x_{k})](http://siba-ese.unile.it/plugins/generic/latexRender/cache/8933e829b5276023e8f318c1e40d1253.png)
DOI Code:
10.1285/i15900932v43n2p55
Keywords:
Quasi-density; quasi statistical convergence; quasi statistical monotonicity
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