Neutrosophic 2−normed spaces and generalized summability

被引:0
|
作者
Murtaza S. [1 ]
Sharma A. [1 ]
Kumar V. [1 ]
机构
[1] Department of Mathematics, Chandigarh University, Punjab, Mohali
来源
Neutrosophic Sets and Systems | 2023年 / 55卷
关键词
neutrosophic 2-norm spaces; Neutrosophic norm spaces; statistical completeness; statistical convergence;
D O I
10.5281/zenodo.7832776
中图分类号
学科分类号
摘要
The aim of present paper is to introduce the concept of neutrosophic 2−norm space ( briefly abbreviated as N −2−NS) and study statistical summability in these spaces. We construct examples to demonstrate that statistical convergence is stronger method than usual convergence. Finally, we define statistically Cauchy sequence, statistical completeness and obtain the Cauchy convergence criteria © 2023, Neutrosophic Sets and Systems.All Rights Reserved.
引用
收藏
页码:415 / 426
页数:11
相关论文
共 50 条
  • [31] Rough lacunary statistical convergence in neutrosophic normed spaces
    Khan, Vakeel A.
    Rahaman, Sk Ashadul
    Hazarika, Bipan
    Alam, Masood
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 45 (05) : 7335 - 7351
  • [32] On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces
    Debnath, Shyamal
    Debnath, Santonu
    Choudhury, Chiranjib
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2022, 19 (04): : 81 - 96
  • [33] GENERALIZED ISOMETRY IN NORMED SPACES
    Zivari-Kazempour, Abbas
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 37 (01): : 105 - 112
  • [34] STRONGLY LACUNARY CONVERGENCE OF ORDER ? IN NEUTROSOPHIC NORMED SPACES
    Kandemir, Hacer Sengul
    Mikail, Et
    Cakalli, Huseyin
    TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2023, 177 (01) : 71 - 76
  • [35] Statistical Convergence of Double Sequences in Neutrosophic Normed Spaces
    Granados C.
    Dhital A.
    Neutrosophic Sets and Systems, 2021, 42 : 333 - 344
  • [36] APPLICATION OF NEUTROSOPHIC NORMED SPACES TO ANALYZE THE CONVERGENCE OF SEQUENCES INVOLVING NEUTROSOPHIC OPERATORS
    Khan, Vakeel A.
    Arshad, Mohammad
    MATHEMATICAL FOUNDATIONS OF COMPUTING, 2025,
  • [37] Statistical Convergence of Sequences of Functions in Neutrosophic Normed Spaces
    Khan, Vakeel A.
    Daud Khan, Mohammad
    Kumar, Amit
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2023, 44 (13) : 1443 - 1463
  • [38] On Δm (J) summability in neutrosophic-n-normed linear spaces * m(l h h 79882@ il
    Sharma, Ashutosh
    Kumar, Vijay
    Sharma, Archana
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2024, 27 (08) : 1887 - 1893
  • [39] f-CONVERGENCE OF DOUBLE SEQUENCES IN NEUTROSOPHIC 2-NORMED SPACES
    Hossain, Nesar
    HONAM MATHEMATICAL JOURNAL, 2024, 46 (03): : 378 - 392
  • [40] Generalized statistical convergence in 2-normed spaces
    Hazarika, Bipan
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2013, 17 (02): : 135 - 143