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
  • [41] ON SOME VECTOR VALUED GENERALIZED DIFFERENCE MODULAR SEQUENCE SPACES
    Karakaya, Vatan
    Dutta, Hemen
    FILOMAT, 2011, 25 (03) : 15 - 27
  • [42] Sequence spaces derived by qλ ℓp spaces and their geometric properties
    Braha, Naim L.
    Yaying, Taja
    Mursaleen, Mohammad
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
  • [43] On Certain Generalized Weighted Mean Fractional Difference Sequence Spaces
    Nayak, L.
    Et, M.
    Baliarsingh, P.
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2019, 89 (01) : 163 - 170
  • [44] SOME mTH-ORDER DIFFERENCE SEQUENCE SPACES OF GENERALIZED MEANS AND COMPACT OPERATORS
    Maji, Amit
    Manna, Atanu
    Srivastava, P. D.
    ANNALS OF FUNCTIONAL ANALYSIS, 2015, 6 (01): : 170 - 192
  • [45] On Some Generalized Bm-Difference Riesz Sequence Spaces and Uniform Opial Property
    Basarir, Metin
    Ozturk, Mahpeyker
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [46] A study on some paranormed sequence spaces due to Lambda-Pascal matrix
    Yaying, Taja
    Basar, Feyzi
    ACTA SCIENTIARUM MATHEMATICARUM, 2024,
  • [47] Some l(p)-Type New Sequence Spaces and Their Geometric Properties
    Savas, Ekrem
    Karakaya, Vatan
    Simsek, Necip
    ABSTRACT AND APPLIED ANALYSIS, 2009,
  • [48] Two new fibonomial difference sequence spaces and related dual properties
    Dagli, Muhammet Cihat
    CONTRIBUTIONS TO MATHEMATICS, 2024, 9 : 38 - 45
  • [49] SOME NEW SEQUENCE SPACES DERIVED BY THE COMPOSITION OF BINOMIAL MATRIX AND DOUBLE BAND MATRIX
    Sonmez, Abdulcabbar
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (01): : 231 - 244
  • [50] Two new sequence spaces generated by the composition of mth order generalized difference matrix and lambda matrix
    Bisgin, Mustafa Cemil
    Sonmez, Abdulcabbar
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,