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
  • [1] On Sθ-summability in neutrosophic-2-normed spaces
    Aslam, Sumaira
    Sharma, Archana
    Kumar, Vijay
    Neutrosophic Sets and Systems, 2024, 63 : 153 - 168
  • [2] Lacunary harmonic summability in neutrosophic normed spaces
    Aral, Nazlim Deniz
    Kandemir, Hacer Sengul
    Et, Mikail
    FILOMAT, 2024, 38 (19) : 6763 - 6771
  • [3] Tauberian theorems for Cesaro summability in neutrosophic normed spaces
    Khan, Vakeel A.
    Faisal, Mohd
    FILOMAT, 2023, 37 (11) : 3411 - 3426
  • [4] On λ-statistical and Vλ-statistical summability in neutrosophic-2-normed spaces
    Aslam S.
    Kumar V.
    Sharma A.
    Neutrosophic Sets and Systems, 2024, 63 : 188 - 202
  • [5] On Sθ-summability in neutrosophic soft normed linear spaces
    Ganaie I.R.
    Sharma A.
    Kumar V.
    Neutrosophic Sets and Systems, 2023, 57 : 256 - 271
  • [6] On Sλ-summability in neutrosophic soft normed linear spaces
    Kumar V.
    Ganaie I.R.
    Sharma A.
    Neutrosophic Sets and Systems, 2023, 58 : 556 - 571
  • [7] On I2(Sθ p,r)-summability of double sequences in neutrosophic normed spaces
    Kumar, Vijay
    Ganaie, Inayat Rasool
    Sharma, Archana
    JOURNAL OF APPLIED ANALYSIS, 2024, 30 (01) : 51 - 62
  • [8] Some remarks on Δm-Cesàro summability in neutrosophic normed spaces
    Kumar V.
    Sharma A.
    Chawla M.
    Neutrosophic Sets and Systems, 2023, 61 : 507 - 522
  • [9] New Observation on Cesaro Summability in Neutrosophic n-Normed Linear Spaces
    Jenifer P.
    Jeyaraman M.
    Neutrosophic Sets and Systems, 2023, 60 : 195 - 202
  • [10] On ρ-statistical convergence in neutrosophic normed spaces
    Ersan, Sibel
    GEORGIAN MATHEMATICAL JOURNAL, 2024, 31 (02) : 253 - 259
12345