On some properties of new paranormed sequence space defined by λ2-convergent sequences

被引:3
|
作者
Braha, Naim L. [1 ,2 ]
机构
[1] Univ Prishtina, Dept Math & Comp Sci, Prishtine 10000, Kosovo
[2] Coll Vizioni Arsim, Dept Comp Sci & Appl Math, Ferizaj 70000, Kosovo
关键词
sequence spaces; lambda(2)-convergence; alpha-; beta- and gamma-duals; matrix mappings; MATRIX TRANSFORMATIONS; CONVERGENCE;
D O I
10.1186/1029-242X-2014-273
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce the new sequence space /(lambda(2),p) and we will show some topological properties like completeness, isomorphism, and some inclusion relations between this sequence spaces and some of the other sequence spaces. In addition we will compute the alpha-, beta- and gamma-duals of these spaces. At the end of the article we will show some matrix transformations between the /(lambda(2) ,p) space and the other spaces.
引用
收藏
页数:10
相关论文
共 50 条
  • [21] On new λ2-convergent difference BK-spaces
    Ercan, Sinan
    Bektas, Cigdem A.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (05) : 793 - 801
  • [22] On some new paranormed sequence spaces of fuzzy numbers defined by orlicz functions and statistical convergence
    Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey
    Math. Model. Anal., 2006, 4 (379-388):
  • [23] Some Classes of Difference Paranormed Sequence Spaces Defined by Orlicz Functions
    Tripathy, B. C.
    Sarma, B.
    THAI JOURNAL OF MATHEMATICS, 2005, 3 (02): : 209 - 218
  • [24] On some paranormed ideal convergent triple sequence spaces via zweier operator
    Idrisi, Mohammad Imran
    Rao, Nadeem
    Saini, Kavita
    Aslam, Sumaira
    FILOMAT, 2024, 38 (15) : 5323 - 5332
  • [25] Some paranormed Euler sequence spaces of difference sequences of order m
    Karakaya, Vatan
    Savas, Ekrem
    Polat, Harun
    MATHEMATICA SLOVACA, 2013, 63 (04) : 849 - 862
  • [26] SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES
    Murat KARAKAS
    Mikail ET
    Vatan KARAKAYA
    ActaMathematicaScientia, 2013, 33 (06) : 1711 - 1720
  • [27] SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES
    Karakas, Murat
    Et, Mikail
    Karakaya, Vatan
    ACTA MATHEMATICA SCIENTIA, 2013, 33 (06) : 1711 - 1720
  • [28] Some new paranormed sequence spaces and core theorems
    Karaisa, Ali
    Basar, Feyzi
    INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014), 2014, 1611 : 380 - 391
  • [29] On some new spaces of lacunary strongly σ-convergent sequences defined by orlicz functions
    Bhardwaj, VK
    Singh, N
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2000, 31 (11): : 1515 - 1526
  • [30] On Some New Double Spaces of λ-convergent and λ-bounded Sequences defined by Orlicz function
    Ozdemir, M. Kemal
    Esi, Ayhan
    Esi, Ayten
    11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 785 - 787