On Asymptotically Wijs']jsman Lacunary Statistical Convergence of Set Sequences in Ideal Context

被引：18
作者：
Hazarika, Bipan [1 ]
Esi, Ayhan [2 ]
机构：
[1] Rajiv Gandhi Univ, Dept Math, Rono Hills, Doimukh 791112, Arunachal Prade, India
[2] Adiyaman Univ, Dept Math, TR-02040 Adiyaman, Turkey
来源：
FILOMAT | 2017年 / 31卷 / 09期
关键词：
Asymptotic equivalence; statistical convergence; lacunary statistical convergence; ideal; ideal convergence; Wi[!text type='js']js[!/text]man convergence; SPACES; CONES;
D O I：
10.2298/FIL1709691H
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce some definitions which are natural combination of the notions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, Wijsman convergence and ideal. In addition, we also define the concept of asymptotically equivalent sequences of sets in the sense of Wijsman convergence and prove some interesting results related to these concepts.
引用
收藏
页码：2691 / 2703
页数：13
相关论文
共 50 条
[31]   Asymptotically lacunary statistical equivalence set sequences of order (α, β) [J].
Kumar, Ravi ;
Sharma, Sunil K. .
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2023, 16 (03) :67-75
[32]   An extension of asymptotically lacunary statistical equivalence set sequences [J].
Uğur Ulusu ;
Ekrem Savaş .
Journal of Inequalities and Applications, 2014
[33]   λ- Wijs']jsman statistical convergence on time scales [J].
Yilmaz, Emrah ;
Gulsen, Tuba ;
Altin, Yavuz ;
Koyunbakan, Hikmet .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (15) :5364-5378
[34]   On Asymptotically Lacunary Invariant Statistical Equivalent Set Sequences [J].
Pancaroglu, Nimet ;
Nuray, Fatih ;
Savas, Ekrem .
11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 :780-+
[35]   Lacunary statistical convergence of double sequences of sets [J].
Nuray, Fatih ;
Ulusu, Ugur ;
Dundar, Erdinc .
SOFT COMPUTING, 2016, 20 (07) :2883-2888
[36]   Statistical Convergence with Rough I3-Lacunary and Wijs']jsman Rough I3-Statistical Convergence in 2-Normed Spaces [J].
Rashid, M. H. M. ;
Al-Subh, Sameer A. .
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2024, 22
[37]   ON Δ-LACUNARY STATISTICAL ASYMPTOTICALLY EQUIVALENT SEQUENCES [J].
Basarir, Metin ;
Altundag, Selma .
FILOMAT, 2008, 22 (01) :161-172
[38]   On ℐ-asymptotically lacunary statistical equivalent sequences [J].
Ekrem Savaş .
Advances in Difference Equations, 2013
[39]   ON WIJS']JSMAN I- LACUNARY STATISTICAL EQUIVALENCE OF ORDER (eta,mu) [J].
Sengul, Hacer .
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2018, 9 (02) :92-101
[40]   ASYMPTOTICALLY LACUNARY STATISTICAL EQUIVALENCE OF DOUBLE SEQUENCES OF SETS [J].
Nuray, Fatih ;
Patterson, Richard F. ;
Dundar, Erdinc .
DEMONSTRATIO MATHEMATICA, 2016, 49 (02) :183-196
12345