Gumus, HafizeDemir, Nihal2024-02-232024-02-2320182075-1680https://doi.org/10.3390/axioms7030054https://hdl.handle.net/20.500.12452/15872In our paper, by using the concept of W asymptotically J statistical equivalence of order a which has been previously defined, we present the definitions of W asymptotically Jl statistical equivalence of order a, W strongly asymptotically Jl statistical equivalence of order a, and W strongly Cesaro asymptotically J statistical equivalence of order a where 0 < a 1. We also extend these notions with a sequence of positive real numbers, p = ( pk), and we investigate how our results change if p is constant.eninfo:eu-repo/semantics/openAccessJ-Statistical ConvergenceAsymptotic EquivalenceSet Sequences=(N) SequenceA New Type of Generalization on WAsymptotically J Statistical Equivalence with the Number ofArticle732-s2.0-85052806624WOS:00044790840001210.3390/axioms7030054