Asymptotically Lacunary Statistical Equivalent Sequence Spaces Defined by Ideal Convergence and an Orlicz Function
Mahmut Karakuş1 and Tunay Bilgin2
1. Yüzüncü Yıl University, Science Faculty, Department of Mathematics. firstname.lastname@example.org.
2. Yüzüncü Yıl University, Education Faculty, Department of Mathematics. email@example.com.
Abstract: In this study, we introduce the concepts asymptotically IpM-lacunary equivalence with order α, and asymptotically IM-lacunary statistical equivalence with order α by using a non-trivial ideal I, an Orlicz function M, and a sequence of positive real numbers p = (pk). In addition to these definitions, natural inclusion theorems where presented.
Keywords: Asymptotically equivalence, Ideal convergence, Lacunary sequence, Orlicz function
Pages: 335 – 351 | Full PDF Paper