Two new fibonomial difference sequence spaces and related dual properties

被引：0
|
作者：
Dagli, Muhammet Cihat [1 ]
机构：
[1] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkiye
来源：
CONTRIBUTIONS TO MATHEMATICS | 2024年 / 9卷
关键词：
fibonomial sequence spaces; Schauder basis; matrix domain; alpha-; beta-; gamma-duals; EULER; L(P); OPERATOR; INCLUDE; MATRIX; ORDER;
D O I：
10.47443/cm.2024.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces two new fibonomial difference sequence spaces that are inspired by the Fibonacci calculus (or Golden calculus). It is shown that both of these spaces are complete linear metric spaces. Also, it is demonstrated that one of these two spaces is linearly isomorphic to the set of all bounded sequences and the other one is linearly isomorphic to the set of all sequences constituting p-absolutely convergent series. Furthermore, the Schauder basis and the cx-, /3-, 7-duals of these spaces are determined.
引用
收藏
页码：38 / 45
页数：8
相关论文
共 50 条
  • [41] Orlicz Extension of New Sequence Spaces Engendered by the Composition of Binomial Matrix and Double Band Matrix
    Jamwal, Seema
    Sharma, Sonali
    Raj, Kuldip
    Sharma, Sunil K.
    Bashir, Runda A. A.
    Mahgou, Hala S.
    Gouni, Albasha A.
    Bakery, Awad A.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2024, 22
  • [42] New sequence spaces derived by using generalized arithmetic divisor sum function and compact operators
    Yaying, Taja
    Saikia, Nipen
    Mursaleen, Mohammad
    FORUM MATHEMATICUM, 2025, 37 (01) : 205 - 223
  • [43] ON KOTHE-TOEPLITZ DUALS OF SOME NEW AND GENERALIZED DIFFERENCE SEQUENCE SPACES
    Ansari, A. A.
    Chaudhry, V. K.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2012, (29): : 135 - 148
  • [44] Some paranormed Euler sequence spaces of difference sequences of order m
    Karakaya, Vatan
    Savas, Ekrem
    Polat, Harun
    MATHEMATICA SLOVACA, 2013, 63 (04) : 849 - 862
  • [45] Difference sequence spaces based on Lucas band matrix and modulus function
    Mohiuddine, S. A.
    Raj, Kuldip
    Choudhary, Anu
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2022, 16 (02): : 1249 - 1260
  • [46] Some new paranormed sequence spaces derived by regular Tribonacci matrix
    Muhammet Cihat Dağli
    Taja Yaying
    The Journal of Analysis, 2023, 31 : 109 - 127
  • [47] Some New Paranormed Sequence Spaces Derived by q-Second Difference Matrix
    Ellidokuzoglu, H. Bilgin
    Demiriz, S.
    JOURNAL OF MATHEMATICAL EXTENSION, 2023, 17 (09)
  • [48] Generalizations of Köthe-Toeplitz duals and Null duals of new difference sequence spaces
    S. Erfanmanesh
    D. Foroutannia
    Journal of Contemporary Mathematical Analysis, 2016, 51 : 125 - 133
  • [49] Domain of Padovan q-Difference Matrix in Sequence Spaces lp and l∞
    Yaying, Taja
    Hazarika, Bipan
    Mohiuddine, S. A.
    FILOMAT, 2022, 36 (03) : 905 - 919
  • [50] Applications of statistical convergence of order (η, δ plus γ) in difference sequence spaces of fuzzy numbers
    Jasrotia, Swati
    Singh, Uday Pratap
    Raj, Kuldip
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 40 (03) : 4695 - 4703
12345