Savaş, E.Patterson, R.F.2025-05-102025-05-1020061644-361610.2478/s11533-006-0031-82-s2.0-33749246523https://doi.org/10.2478/s11533-006-0031-8https://hdl.handle.net/20.500.14720/6436This paper presents the following definitions which is a natural combination of the definition for asymptotically equivalent, statistically limit, lacunary sequences, and σ-convergence. Let θ be a lacunary sequence; Two nonnegative sequences [χ] and [y] are Sσ,θ-asymptotically equivalent of multiple L provided that for every ε > 0 limr 1/hr {k ε Ir: xσκ(m)/yσk(m) - L ≥ ε} = 0 uniformly in m = 1, 2, 3,..., (denoted by x ∼ Sσ,θy) simply Sσ,θ -asymptotically equivalent, if L = 1. Using this definition we shall prove Sσ,θ-asymptotically equivalent analogues of Fridy and Orhan's theorems in [5] and analogues results of Das and Patel in [1] shall also be presented. © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2006.eninfo:eu-repo/semantics/closedAccessΣ-AsymptoticallyEquivalent Of Multiple LArticle44N/AN/A648655