Some properties of generalized Fibonacci sequence spaces

被引:72
|
作者
Kara, Emrah Evren [1 ]
Ilkhan, Merve [1 ]
机构
[1] Duzce Univ, Dept Math, Duzce, Turkey
来源
LINEAR & MULTILINEAR ALGEBRA | 2016年 / 64卷 / 11期
关键词
sequence spaces; matrix transformations; Schauder basis; alpha-; beta-; gamma-duals; MATRIX TRANSFORMATIONS;
D O I
10.1080/03081087.2016.1145626
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we define new spaces as a generalization of the Fibonacci difference sequence spaces. Also, we establish some inclusion theorems related to these spaces and find the alpha-, beta-, gamma-duals. Lastly, we characterize some matrix classes on these spaces.
引用
收藏
页码:2208 / 2223
页数:16
相关论文
共 50 条
  • [1] A Different Study on the Spaces of Generalized Fibonacci Difference bs and cs Spaces Sequence
    Yasar, Fevzi
    Kayaduman, Kuddusi
    SYMMETRY-BASEL, 2018, 10 (07):
  • [2] Some Paranormed Difference Sequence Spaces Derived by Using Generalized Means
    Manna, Atanu
    Maji, Amit
    Srivastava, Parmeshwary Dayal
    KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (04): : 909 - 931
  • [3] Sequence spaces derived by the triple band generalized Fibonacci difference operator
    Yaying, Taja
    Hazarika, Bipan
    Mohiuddine, S. A.
    Mursaleen, M.
    Ansari, Khursheed J.
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [4] Some topological and geometrical properties of new Banach sequence spaces
    Kara, Emrah Evren
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [5] Some properties of Generalized Fibonacci difference bounded and p-absolutely convergent sequences
    Das, Anupam
    Hazarika, Bipan
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2018, 36 (01): : 37 - 50
  • [6] On generalized Fibonacci difference sequence spaces and compact operators
    Yaying, Taja
    Hazarika, Bipan
    Et, Mikail
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (06)
  • [7] Some topologic and geometric properties of new Catalan sequence spaces
    Karakas, Murat
    Dagli, Muhammet Cihat
    ADVANCES IN OPERATOR THEORY, 2023, 8 (01)
  • [8] Some topological and geometric properties of generalized Euler sequence space
    Kara, Emrah Evren
    Ozturk, Mahpeyker
    Basarir, Metin
    MATHEMATICA SLOVACA, 2010, 60 (03) : 385 - 398
  • [9] On generalized means and some related sequence spaces
    Mursaleen, M.
    Noman, Abdullah K.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 988 - 999
  • [10] Some new Fibonacci difference spaces of non-absolute type and compact operators
    Das, Anupam
    Hazarika, Bipan
    LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (12): : 2551 - 2573