%0 Journal Article
%T On asymptotically generalized statistical equivalent sequences via ideals
%A Vijay Kumar Kaushik
%A Archana Sharma
%J Tamkang Journal of Mathematics
%D 2012
%I Tamkang University
%R 10.5556/j.tkjm.43.2012.469-478
%X For an admissible ideal ${mathcal I}subseteq {mathcal P}({mathbb N})$ and a non-decreasing 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.
%K Asymptotically equivalent sequences
%K statistical convergence
%K statistical convergence and ideal convergence
%U http://journals.math.tku.edu.tw/index.php/TKJM/article/view/919