Some new lacunary statistical convergence with ideals

被引：3
|
作者：
Kilicman, Adem [1 ,2 ]
Borgohain, Stuti [1 ,2 ,3 ]
机构：
[1] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia
[2] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia
[3] Indian Inst Technol, Dept Math, Bombay 400076, Maharashtra, India
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年
关键词：
Musielak-Orlicz function; ideal convergence; lacunary sequences; probabilistic normed space;
D O I：
10.1186/s13660-016-1284-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the idea of lacunary l(lambda) statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary l(lambda)-statistical convergence with lacunary l(lambda)-summable sequences. Moreover, we study the l(lambda)-lacunary statistical convergence in probabilistic normed space and discuss some topological properties.
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页数：9
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