ASYMPTOTICALLY (I)-LACUNARY EQUIVALENT SEQUENCES SPACES
TUNAY BILGIN *
Department of Mathematics, Faculty of Education, University of Yuzuncu Yil, Van, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this study, we define 
(I)- lacunary equivalence with order α, and asymptotically αf (I)- lacunary statistical equivalence with order α; which is a natural combination of the defintion for asymptotically equivalent, Ideal convergence, Statistically limit, Lacunary sequence, Modulus function and a sequence of positive real numbers p = (pk) and give some relations about these concepts.
Keywords: Asymptotically equivalence, ideal convergence, lacunary sequence, modulus function, statistically limit