ON I????-DEFERRED STATISTICALLY ROUGH CONVERGENCE WITH ORDER α

ON I????-DEFERRED STATISTICALLY ROUGH CONVERGENCE WITH ORDER α

C. Choudhury, M. Küçükaslan

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Abstract

In this article, we introduce the concept of I4-deferred statistically rough convergence of order  , (0 <     1) in a normed linear space. We mainly examine various properties such as closedness and convexity of the set of I ???? DSr;  p;q (4)????limit for a sequence. Besides this, we prove a necessary and su cient condition for the I ???? DSr;  p;q (4)????convergence of a real valued sequence and derive some interesting implication relationships.

Keywords

Deferred statistical convergence, ideal, I????convergence, di erence of sequence, rough convergence.