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

[21] Density by moduli and Wijs']jsman statistical convergence
Bhardwaj, Vinod K.
Dhawan, Shweta
Dovgoshey, Oleksiy A.
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2017, 24 (03) : 393 - 415
[22] Wijs']jsman convergence of set sequences in asymmetric metric spaces
Soeylemez, Busra
Nuray, Fatih
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2023, 14 (01): : 45 - 58
[23] Double Wijs']jsman asymptotically statistical equivalence of order α
Gulle, Esra
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (02) : 2081 - 2087
[24] On Wijs']jsman Ideal Convergent Set of Sequences Defined by an Orlicz Function
Gumus, Hafize
FILOMAT, 2016, 30 (13) : 3501 - 3509
[25] On fuzzy real valued asymptotically equivalent sequences and lacunary ideal convergence
Hazarika, Bipan
Esi, Ayhan
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2014, 41 (02): : 209 - 225
[26] An extension of asymptotically lacunary statistical equivalence set sequences
Ulusu, Ugur
Savas, Ekrem
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[27] ON WIJS']JSMAN DEFERRED STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF SETS
Yilmazer, Mehmet Cagri
Et, Mikail
Bhardwaj, Vinod K.
Gupta, Sandeep
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (04): : 671 - 681
[28] WIJS']JSMAN I-INVARIANT CONVERGENCE OF SEQUENCES OF SETS
Akin, Nimet Pancaroglu
Dundar, Erdinc
Nuray, Fatih
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 11 (01): : 1 - 9
[29] Some New Observations on Wijs']jsman I2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces
Kisi, Omer
JOURNAL OF MATHEMATICS, 2021, 2021
[30] Asymptotically lacunary statistical equivalence set sequences of order (α, β)
Kumar, Ravi
Sharma, Sunil K.
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2023, 16 (03): : 67 - 75

← 1 2 3 4 5 →