SCHOLARS SCITECH RESEARCH ORGANIZATION On The Space of Asymptotically Lacunary Equivalent Sequences Obtained From an Orlicz Function

Scholars Journal, Mahmut Karakus, Tunay Bilgin
Non-negative sequences and satisfying (| |) = 0 for some ρ > 0 are called M-asymptotically equivalent of multiple L, where) and). Similarly, the strong M-asymptotically equivalence is obtained for L = 1 by using an Orlicz function M. This study contains some new definitions and related theorems about asymptotically equivalent sequences by using a lacunary sequence θ = (), a strictly positive sequence = () and an Orlicz function. Mathematics Subject Classification: 40A05,40A35,40G15