SEQUENCE SPACES OVER n-NORMED SPACES DEFINED BY MUSIELAK-ORLICZ FUNCTION OF ORDER (alpha, beta)

被引:5
|
作者
Sharma, Sunil K. [1 ]
Mohiuddine, S. A. [2 ]
Sharma, Ajay K. [3 ]
Sharma, T. K. [4 ]
机构
[1] Cluster Univ Jammu, Dept Math, Jammu 180001, Jammu & Kashmir, India
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[3] Cent Univ Jammu, Dept Math, Samba 181143, Jammu & Kashmir, India
[4] GGM Sci Coll, Dept Math, Jammu 180001, Jammu & Kashmir, India
关键词
Musielak-Orlicz function; lacunary sequence; n-normed spaces; statistical convergence; paranorm space;
D O I
10.22190/FUMI1805721S
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper, we introduce sequence spaces over n-normed spaces defined by a Musielak-Orlicz function M = (M-k) of order (alpha, beta). We examine some topological properties and prove some inclusion relations between the resulting sequence spaces.
引用
收藏
页码:721 / 738
页数:18
相关论文
共 50 条
  • [1] Sequence Spaces Defined by Musielak-Orlicz Function over n-Normed Spaces
    Mursaleen, M.
    Sharma, Sunil K.
    Kilicman, A.
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [2] Some sequence spaces defined by a Musielak-Orlicz function in n-normed spaces
    Raj, Kuldip
    Sharma, Sunil K.
    Sharma, Ajay K.
    [J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2011, 14 (5-6) : 569 - 580
  • [3] Difference sequence spaces in n-normed spaces defined by Musielak-Orlicz function
    Raj, Kuldip
    Sharma, Sunil K.
    Sharma, Ajay K.
    [J]. ARMENIAN JOURNAL OF MATHEMATICS, 2011, 3 (03): : 127 - 141
  • [4] SOME GENERALIZED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER n-NORMED SPACES
    Raj, Kuldip
    Sharma, Sunil K.
    [J]. TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2012, 3 (02): : 190 - 201
  • [5] Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α, β)
    Mohiuddine, S. A.
    Sharma, Sunil K.
    Abuzaid, Dina A.
    [J]. JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [6] Some Difference Paranormed Sequence Spaces over n-normed Spaces Defined by a Musielak-Orlicz Function
    Raj, Kuldip
    Sharma, Sunil K.
    Gupta, Amit
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2014, 54 (01): : 73 - 86
  • [7] SOME SEQUENCE SPACES OVER n-NORMED SPACES DEFINED BY FRACTIONAL DIFFERENCE OPERATOR AND MUSIELAK-ORLICZ FUNCTION
    Mursaleen, M.
    Sharma, Sunil K.
    Qamaruddin
    [J]. KOREAN JOURNAL OF MATHEMATICS, 2021, 29 (02): : 211 - 225
  • [8] Some multiplier generalized difference sequence spaces over n-normed spaces defined by a Musielak-Orlicz function
    Raj K.
    Sharma S.K.
    [J]. Siberian Advances in Mathematics, 2014, 24 (3) : 193 - 203
  • [9] Some sequence spaces of Invariant means and lacunary defined by a Musielak-Orlicz function over n-normed spaces
    Sharma, Sunil K.
    Raj, Kuldip
    Sharma, Ajay K.
    [J]. TBILISI MATHEMATICAL JOURNAL, 2018, 11 (01): : 31 - 47
  • [10] IDEAL CONVERGENT SEQUENCE SPACES WITH RESPECT TO INVARIANT MEAN AND A MUSIELAK-ORLICZ FUNCTION OVER n-NORMED SPACES
    Sharma, Sunil K.
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2018, 16 (06): : 882 - 893