Filomat 2008 Volume 22, Issue 1, Pages: 161-172
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On ∆-lacunary statistical asymptotically equivalent sequences

Basarir Metin, Altunda Selma

This paper presents new definitions which are a natural combination of the definition for asymptotically equivalence ∆-lacunary statistically convergence. Using this definitions we have proved the S(∆)-asymptotically equivalence analogues theorems of [5] and [6].

Keywords: asymptotic equivalence, statistical convergence, ∆-convergence, lacunary sequence