On some generalized sequence spaces

被引:35
|
作者
Et, M [1 ]
Altinok, H [1 ]
Altin, Y [1 ]
机构
[1] Firat Unit, Fac Sci & Arts, Dept Math, TR-23119 Elazig, Turkey
关键词
difference sequence spaces; statistical convergence;
D O I
10.1016/S0096-3003(03)00700-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The idea of difference sequence spaces was introduced by Kizmaz [Canad. Math. Bull. 24 (1981) 169] and this concept was generalized by Et and Colak [Soochow J. Math. 21 (1995) 337]. In this paper we define the sequence spaces l(infinity)(p)(Delta(v)(r)), c(p)(Delta(v)(r)), c(0)(p)(Delta(v)(r)) and (c) over bar (p)(Delta(v)(r)), (r is an element of N), give some topological properties and inclusion relations of these sequence spaces. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码:167 / 173
页数:7
相关论文
共 50 条
  • [31] On Some New Generalized Difference Statistically Convergent Sequence Spaces Defined by a Sequence of Orlicz Functions
    Bektas, Ciadem Asma
    Atici, Gulcan
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2010, 50 (03): : 389 - 397
  • [32] ON SOME GENERALIZED DIFFERENCE PARANORMED SEQUENCE SPACES ASSOCIATED WITH MULTIPLIER SEQUENCE DEFINED BY MODULUS FUNCTION
    Binod Chandra Tripathy
    Prabhat Chandra
    [J]. Analysis in Theory and Applications, 2011, 27 (01) : 21 - 27
  • [33] On Some Lacunary Generalized Difference Sequence Spaces of Invariant Means Defined by a Sequence of Modulus Functions
    Atici, Gulcan
    Bektas, Cigdem Asma
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2011, 51 (04): : 385 - 393
  • [34] On some sequence spaces
    Pehlivan, S.
    Fisher, B.
    [J]. Indian Journal of Pure and Applied Mathematics, 1994, 25 (10)
  • [35] TOPOLOGICAL AND GEOMETRIC PROPERTIES OF SOME NEW SEQUENCE SPACES OF GENERALIZED DIFFERENCE OPERATOR
    Braha, Naim l.
    Et, Mikail
    Karakas, Murat
    Mursaleen, Mohammad
    [J]. MATHEMATICAL FOUNDATIONS OF COMPUTING, 2024,
  • [36] Four-dimensional generalized difference matrix and some double sequence spaces
    Tug, Orhan
    Basar, Feyzi
    [J]. INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
  • [37] Some geometric properties of generalized modular sequence spaces defined by Zweier operator
    Sudsukh, Chanan
    Mongkolkeha, Chirasak
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2289 - 2297
  • [38] On some geometric properties of sequence spaces of generalized arithmetic divisor sum function
    Mursaleen, Mohammad
    Herawati, Elvina
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
  • [39] Four-dimensional generalized difference matrix and some double sequence spaces
    Orhan Tuǧ
    [J]. Journal of Inequalities and Applications, 2017
  • [40] ON KOTHE-TOEPLITZ DUALS OF SOME NEW AND GENERALIZED DIFFERENCE SEQUENCE SPACES
    Ansari, A. A.
    Chaudhry, V. K.
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2012, (29): : 135 - 148