On Paranorm Zweier I-Convergent Sequence Spaces

被引:5
|
作者
Khan, Vakeel A. [1 ]
Ebadullah, Khalid [1 ]
Esi, Ayhan [2 ]
Khan, Nazneen [1 ]
Shafiql, Mohd [1 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] Adiyaman Univ, Dept Math, TR-02040 Adiyarnan, Turkey
关键词
D O I
10.1155/2013/613501
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce the paranorm Zweier I-convergent sequence spaces, L-I(q), L-I(0)(q) and L-infinity(1)(q)L-infinity(1) for q = (q(k)) a sequence of positive real numbers. We study some topological properties, prove the decomposition theorem, and study some inclusion relations on these spaces.
引用
收藏
页数:6
相关论文
共 50 条
  • [11] On Hilbert I-convergent sequence spaces
    Khan, Vakeel A.
    Alshlool, Kamal M. A. S.
    Alam, Masood
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2020, 20 (03): : 225 - 233
  • [12] I-CONVERGENT DIFFERENCE SEQUENCE SPACES
    Khan, Vakeel A.
    Ahmad, Mobeen
    Hasan, S. N.
    Ahmad, Rayees
    JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 10 (02): : 58 - 68
  • [13] On fuzzy I-convergent difference sequence spaces
    Tripathy, Binod Chandra
    Sen, Mausumi
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2013, 25 (03) : 643 - 647
  • [14] Intuitionistic fuzzy Tribonacci I-convergent sequence spaces
    Khan, Vakeel A.
    Rahaman, Sk Ashadul
    MATHEMATICA SLOVACA, 2022, 72 (03) : 693 - 708
  • [15] I-convergent sequence spaces associated with multiplier sequences
    Tripathy, Binod Chandra
    Hazarika, Bipan
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2008, 11 (03): : 543 - 548
  • [16] Intuitionistic fuzzy I-convergent Fibonacci difference sequence spaces
    Vakeel A. Khan
    Emrah E. Kara
    Henna Altaf
    Nazneen Khan
    Mobeen Ahmad
    Journal of Inequalities and Applications, 2019
  • [17] On some I-convergent sequence spaces defined by a compact operator
    Khan, Vakeel A.
    Shafiq, Mohd
    Rababah, Rami Kamel Ahmad
    Esi, Ayhan
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2016, 43 (02): : 141 - 150
  • [18] Some I-convergent sequence spaces defined by Orlicz functions
    Tripathy, Binod Chandra
    Hazarika, Bipan
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 27 (01): : 149 - 154
  • [19] Some I-convergent sequence spaces defined by Orlicz functions
    Binod Chandra Tripathy
    Bipan Hazarika
    Acta Mathematicae Applicatae Sinica, English Series, 2011, 27 : 149 - 154
  • [20] Intuitionistic fuzzy I-convergent Fibonacci difference sequence spaces
    Khan, Vakeel A.
    Kara, Emrah E.
    Altaf, Henna
    Khan, Nazneen
    Ahmad, Mobeen
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)