Zweier Ideal Convergent Sequence Spaces Defined By Orlicz Functions

被引：4
|
作者：
Hazarika, Bipan [1 ]
Tamang, Karan [2 ]
Singh, B. K. [2 ]
机构：
[1] Rajiv Gandhi Univ, Dept Math, Doimukh 791112, Arunachal Prade, India
[2] North Eastern Reg Inst Sci & Technol, Dept Math, Nirjuli 791109, Arunachal Prade, India
来源：
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2014年 / 8卷 / 03期
关键词：
Ideal; I-convergence; Zweier sequence; Orlicz function;
D O I：
10.22436/jmcs.08.03.13
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. In this article we introduce ideal convergent sequence spaces using Zweier transform and Orlicz function. We study some topological and algebraic properties. Further we prove some inclusion relations related to these new spaces.
引用
下载
收藏
页码：307 / 318
页数：12
相关论文
共 50 条
  • [31] Some Double Lacunary Sequence Spaces defined by Orlicz Functions
    Savas, E.
    Patterson, R. F.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2011, 35 (01) : 103 - 110
  • [32] IDEAL CONVERGENT GENERALIZED DIFFERENCE SEQUENCE SPACES OF INFINITE MATRIX AND ORLICZ FUNCTION
    Raj, Kuldip
    Sharma, Charu
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, (40): : 34 - 46
  • [33] On some new spaces of lacunary strongly σ-convergent sequences defined by orlicz functions
    Bhardwaj, VK
    Singh, N
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2000, 31 (11): : 1515 - 1526
  • [34] On some generalized sequence spaces of fuzzy numbers defined by a sequence of Orlicz functions
    Başarır M.
    Altundağ S.
    Kayıkçı M.
    Rendiconti del Circolo Matematico di Palermo, 2010, 59 (2) : 277 - 287
  • [35] On some new generalized difference sequence spaces on seminormed spaces defined by a sequence of Orlicz functions
    Bektas, Cigdem A.
    MATHEMATICA SLOVACA, 2011, 61 (02) : 227 - 234
  • [36] Double sequence spaces over n-normed spaces defined by a sequence of Orlicz functions
    Alotaibi, Abdullah
    Mursaleen, Mohammad
    Sharma, Sunil K.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [37] Double sequence spaces over n-normed spaces defined by a sequence of Orlicz functions
    Abdullah Alotaibi
    Mohammad Mursaleen
    Sunil K Sharma
    Journal of Inequalities and Applications, 2014
  • [38] On paranormed Ideal convergent sequence spaces defined by Jordan totient function
    Khan, Vakeel A.
    Tuba, Umme
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [39] On paranormed Ideal convergent sequence spaces defined by Jordan totient function
    Vakeel A. Khan
    Umme Tuba
    Journal of Inequalities and Applications, 2021
  • [40] Intuitionistic fuzzy Zweier I-convergent double sequence spaces defined by modulus function
    Khan, Vakeel A.
    Yasmeen
    Fatima, Hira
    Ahamd, Ayaz
    COGENT MATHEMATICS, 2016, 3
12345