(σ,λ)- asymptotically statistical equivalent sequences

This paper presents the following definition which is a nat- ural combination of the definition for asymptotically equivalent, ‚- sta- tistical convergence and ae- convergence. Two nonnegative sequences (x) and (y) are said to be Sae;‚- asymptotically equivalent of multiple L provided that for every † > 0 lim n 1 ‚n k 2 In : xaek(m) yaek(m) i L ‚ † = 0