Asymptotically Wijs']jsman lacunary sequences of order (α,β)

被引：0
|
作者：
Kumar, Ravi [1 ]
Sharma, Sunil K. K. [2 ]
Sharma, Ajay K. K. [1 ]
机构：
[1] Cent Univ Jammu, Dept Math, Samba 181143, J&K, India
[2] Shri Mata Vaishno Devi Univ, Sch Math, Katra 182320, J&K, India
来源：
JOURNAL OF ANALYSIS | 2024年 / 32卷 / 04期
关键词：
Asymptotic equivalence; Statistical convergence; Lacunary statistical convergence; Wi[!text type='js']js[!/text]man convergence; Musielak-Orlicz functions; WEIGHTED STATISTICAL CONVERGENCE; CONVEX-SETS CONES; KOROVKIN; SPACES;
D O I：
10.1007/s41478-023-00607-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main aim of this paper is to define the asymptotically Wijsman lacunary equivalent sequences of order (alpha, beta) and study certain properties of this concept. We also make an effort to define Musielak-Orlicz asymptotically Wijsman lacunary statistical sequences of order (alpha,beta) and examine some topological properties.
引用
收藏
页码：2037 / 2055
页数：19
相关论文
共 50 条
  • [31] 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
  • [32] Wijs']jsman regularly ideal convergence of double sequences of sets
    Dundar, Erdinc
    Akin, Nimet Pancaroglu
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (06) : 8159 - 8166
  • [33] 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
  • [34] On asymptotically lacunary statistical equivalent of order α∼ of difference double sequences
    Et, Mikail
    Kandemir, Hacer Sengul
    Cinar, Muhammed
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (18) : 12023 - 12029
  • [35] WIJS']JSMAN REGULARLY IDEAL INVARIANT CONVERGENCE OF DOUBLE SEQUENCES OF SETS
    Dundar, Erdinc
    Talo, Ozer
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2021, 39 (3-4): : 277 - 294
  • [36] On Wijs']jsman Ideal Convergent Set of Sequences Defined by an Orlicz Function
    Gumus, Hafize
    FILOMAT, 2016, 30 (13) : 3501 - 3509
  • [37] Soft Wijs']jsman convergence
    Bayram, Erdal
    Cinar, Melisa Dervisoglu
    MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2024, 18 (03) : 267 - 279
  • [38] Multidimensional Asymptotically Lacunary Statistical Equivalent of Order α for Sequences of Fuzzy Numbers
    Savas, Rabia
    FUZZY INFORMATION AND ENGINEERING, 2022, 14 (02) : 143 - 151
  • [39] On normality of the Wijs']jsman topology
    Hola, L'ubica
    Novotny, Branislav
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2013, 192 (03) : 349 - 359
  • [40] Asymptotically J-Lacunary statistical equivalent of order α for sequences of sets
    Savas, Ekrem
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (06): : 2860 - 2867
12345