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
  • [1] On certain Euler difference sequence spaces of fractional order and related dual properties
    Kadak, Ugur
    Baliarsingh, P.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (06): : 997 - 1004
  • [2] Some new difference sequence spaces of fractional order and their dual spaces
    Baliarsingh, P.
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (18) : 9737 - 9742
  • [3] Generalized difference sequence spaces and their dual spaces
    Bektas, ÇA
    Et, M
    Colak, R
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 292 (02) : 423 - 432
  • [4] On pα-dual spaces of generalized difference sequence spaces
    Et, Mikail
    Isik, Mahmut
    APPLIED MATHEMATICS LETTERS, 2012, 25 (10) : 1486 - 1489
  • [5] On some topological properties of a new type difference sequence spaces
    Karakas, Abdulkadir
    Altin, Yavuz
    Et, Mikail
    ADVANCEMENTS IN MATHEMATICAL SCIENCES (AMS 2015), 2015, 1676
  • [6] Some new difference sequence spaces
    Aydin, C
    Basar, F
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (03) : 677 - 693
  • [7] A New Type of Difference Sequence Spaces
    Jalal, Tanweer
    Ahmad, Reyaz
    THAI JOURNAL OF MATHEMATICS, 2012, 10 (01): : 147 - 155
  • [8] Some results on matrix transformation and compactness for fibonomial sequence spaces
    Dagli, Muhammet Cihat
    Yaying, Taja
    ACTA SCIENTIARUM MATHEMATICARUM, 2023, 89 (3-4): : 593 - 609
  • [9] Some results on matrix transformation and compactness for fibonomial sequence spaces
    Muhammet Cihat Dağlı
    Taja Yaying
    Acta Scientiarum Mathematicarum, 2023, 89 : 593 - 609
  • [10] Some properties of the β-dual spaces of vector sequence spaces
    Zhao, JF
    PROCEEDINGS OF THE SECOND ASIAN MATHEMATICAL CONFERENCE 1995, 1998, : 94 - 98
12345