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

被引：16

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

页码：2691 / 2703

页数：13

共 50 条

[1] ON ASYMPTOTICALLY WIJS']JSMAN LACUNARY sigma-STATISTICAL CONVERGENCE OF SET SEQUENCES
Hazarika, Bipan
Esi, Ayhan
Braha, N. L.
JOURNAL OF MATHEMATICAL ANALYSIS, 2013, 4 (03): : 33 - 46
[2] On Asymptotically Wijs']jsman (λ, σ)-Statistical Convergence of Set Sequences
Hazarika, Bipan
Esi, Ayhan
THAI JOURNAL OF MATHEMATICS, 2021, 19 (04): : 1165 - 1175
[3] ASYMPTOTICALLY WIJS']JSMAN LACUNARY SEQUENCES OF ORDER ( α, β ) BY USING IDEAL
Kumar, Ravi
Mohiuddine, S. A.
Sharma, Sunil K.
Sharma, Ajay K.
HONAM MATHEMATICAL JOURNAL, 2024, 46 (03): : 485 - 499
[4] Asymptotically Wijs']jsman lacunary sequences of order (α,β)
Kumar, Ravi
Sharma, Sunil K. K.
Sharma, Ajay K. K.
JOURNAL OF ANALYSIS, 2024, 32 (04): : 2037 - 2055
[5] Wijs']jsman Statistical Convergence of Double Sequences of Set
Nuray, Fatih
Dundar, Erdinc
Ulusu, Ugur
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2021, 16 (01): : 55 - 64
[6] WIJS']JSMAN LACUNARY STATISTICAL CONVERGENCE OF TRIPLE SEQUENCES WITH ORDER α
Altaweel, Nifeen h.
Rashid, M. H. M.
Alshehri, Maryam g.
Albalawi, Razan
MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, 2024, 36 (02) : 187 - 207
[7] Density by moduli and Wijs']jsman lacunary statistical convergence of sequences of sets
Bhardwaj, Vinod K.
Dhawan, Shweta
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[8] On asymptotically double lacunary statistical equivalent sequences in ideal context
Hazarika, Bipan
Kumar, Vijay
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[9] WIJS']JSMAN LACUNARY IDEAL INVARIANT CONVERGENCE OF DOUBLE SEQUENCES OF SETS
Dundar, Erdinc
Akin, Nimet Pancaroglu
HONAM MATHEMATICAL JOURNAL, 2020, 42 (02): : 345 - 358
[10] On Asymptotically f-statistical Equivalent Set Sequences in the Sense of Wijs']jsman
Konca, Sukran
Kucukaslan, Mehmet
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2019, 10 (03): : 379 - 390

← 1 2 3 4 5 →