Savaş, Ekrem2020-11-212020-11-2120140019-5324https://hdl.handle.net/11467/3510This paper presents the following definition which is a natural combination of the definition for asymptotically equivalent of order a, where 0 < ? < 1, I-statistically limit, and ?-statistical convergence. The two nonnegative sequences x = (xk) and y = (yk) are said to be asymptotically I?-statistical equivalent of order ? to multiple L provided that for every ? > 0, and ? > 0, Equation presnted (denoted by Equation presented and simply asymptotically I ?-statistical equivalent of order ? if L = 1. In addition, we shall also present some inclusion theorems. © 2014 Allahabad Mathematical Society asymptotical equivalent; ideal convergence;.eninfo:eu-repo/semantics/closedAccessI-statistical convergenceStatistical convergence of order ?.?-statistical convergenceArticle562197207Q42-s2.0-84904996490