
On asymptotically generalized statistical equivalent sequences via idealsDOI: 10.5556/j.tkjm.43.2012.469478 Keywords: Asymptotically equivalent sequences , statistical convergence , statistical convergence and ideal convergence Abstract: For an admissible ideal ${mathcal I}subseteq {mathcal P}({mathbb N})$ and a nondecreasing realsequence $lambda =(lambda_n)$ tending to $infty$ with $lambda_{n+1} leq lambda_n+1, lambda_1 = 1$, the objective of this paper is to introduce the new notions ${mathcal I}$statistically equivalent, ${mathcal I}[V, lambda]$equivalent and ${mathcal I}lambda $statistically equivalent. which are natural combinations of the definitions for asymptotically equivalent, statistical limit, $lambda$statistical limit and ${mathcal I}$limit for number sequences. In addition, some relations among these new notions are also obtained.
