کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6422024 | 1340595 | 2012 | 9 صفحه PDF | دانلود رایگان |
This paper presents the following definition which is a natural combination of the definition for asymptotically equivalent, statistically limit and lacunary sequences. Let θ be a lacunary sequence; the two nonnegative sequences x=(xk) and y=(yk) are said to be asymptotically Îm lacunary statistical (defined in [2]) equivalent of multiple L provided that for every â>0,limr1hrthe number ofkâIr:ÎmxkÎmyk-L⩾â=0(denoted by xâ¼SθL(Îm)y), and simply Îm-lacunary asymptotically statistical equivalent if L=1. Also are given some properties of Îm-statistical asymptotically equivalent sequences and Îm-Cesaro asymptotically equivalent sequences and inclusion cases of those classes, more over, equivalent conditions of those classes. In last section are given Îm-Cesaro Orlicz asymptotically equivalent sequences and their relationship with other classes, such as: inclusion cases of this class of sequences and classes defined in Section 3 and equivalent conditions for those classes.
Journal: Applied Mathematics and Computation - Volume 219, Issue 1, 15 September 2012, Pages 280-288