QUASI STATISTICALLY ROUGH CONVERGENCE OF SEQUENCES IN GRADUAL NORMED LINEAR SPACES

被引：0
|
作者：
Choudhury, C. [1 ]
机构：
[1] Tripura Univ, Cent Univ, Dept Math, Agartala 799022, India
来源：
VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI | 2024年 / 34卷 / 04期
关键词：
gradual number; gradual normed linear space; quasi density; st r q (G)-convergence; st r q (G)-limit set; LIMIT;
D O I：
10.35634/vm240406
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present article, we set forth with the new notion of quasi statistically rough convergence in the gradual normed linear spaces. We establish significant results that present several fundamental properties of this new notion. We also introduce the notion of st r q (G)-limit set and prove that it is gradually closed, convex, and plays an important role for the quasi statistically boundedness of a sequence in a gradual normed linear space.
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页码：563 / 576
页数：14
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