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Some new generalized Riesz spaces over modulus function

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The structure of this paper is to introduce the new sequence space of Riesz type of the form rqF(△ps) by using modulus function. We will prove that it is complete linear paranormed space. It will be shown to be linearly isomorphism with ℓ(p). Further, some inclusion relation will be computed.
Rocznik
Tom
Strony
39--47
Opis fizyczny
Bibliogr. 37 poz.
Twórcy
  • Jammu and Kashmir Institute of Mathematical Sciences, Srinagar 190008, India
Bibliografia
  • [1] Altay B., Başar F., On the paranormed Riesz sequence space of nonabsolute type, Southeast Asian Bull. Math., 26(2002), 701-715.
  • [2] Altay B. Başar F., On the space of sequences of p-bounded variation and related matrix mappings, Ukarnian Math. J., 1(1) (2003), 136-147, (DOI:10.1023/A:1025080820961).
  • [3] Altay B., Başar F., Mursaleen M., On the Euler sequence spaces which include the spaces lp and l∞-II, Nonlinear Anal., 176(2006), 1465-1462.
  • [4] Aydin C., Başar F., On the new sequence spaces which include the spaces c0 and c, Hokkaido Math. J., 33(2002), 383-398.
  • [5] Aydin C., Başar F., Some new paranormed sequence spaces, Inf. Sci., 160(2004), 27-40.
  • [6] Başarir M., Öztürk M., On the Riesz difference sequence space, Rendiconti del Cirocolo di Palermo, 57(2008), 377-389.
  • [7] Choudhary B., Mishra S.K., On Köthe Toeplitz Duals of certain sequence spaces and matrix Transformations, Indian J. Pure Appl. Math., 24(4) (1993), 291-301.
  • [8] Fathima D., Ganie A.H., On some new scenario of Δ- spaces, J. Nonlinear Sci. Appl., 14(2021), 163-167, (http://dx.doi.org/10.22436/jnsa.014.03.05).
  • [9] Fathima D., Albaidani M.M., Ganie A.H., Akhter A., New structure of Fibonacci numbers using concept of Δ-operator, J. Math. Comput. Sci., 26(2) (2022), 101-112, (http://dx.doi.org/10.22436/jmcs.026.02.01).
  • [10] Ganie A.H., New spaces over modulus function, Boletim Sociedade Paranaense de Matematica (in press), 1-6: http://www.spm.uem.br/bspm/pdf/next/313.pdf.
  • [11] Ganie A.H., Ahmad M., Sheikh N.A., Generalized difference paranormed sequence space with respect to modulus function and almost convergence, Journal of Global Research in Computer Science, 6(11) (2015), 23-26.
  • [12] Ganie A.H., Fathima D., Almost convergence property of generalized Riesz spaces, Journal of Applied Mathematics and Computation, 4(4) (2020), 249-253, (DOI: http://dx.doi.org/10.26855/jamc.2020.12.016).
  • [13] Ganie A.H., Albaidan M.M., Matrix Structure of Jacobsthal numbers, J. Funct. Spaces., 2021 (2021) Article ID 2888840, (https://doi.org/10.1155/2021/2888840).
  • [14] Ganie A.H., Sheikh N.A., On some new sequence spaces of non-absolute type and matrix transformations, J. Egyp. Math. Soc., 21(2) (2013), 34-40, (https://doi.org/10.1016/j.joems.2013.01.006).
  • [15] Ganie A.H., Ahmad M., Sheikh N.A., Jalal T., Gupkari S.A., Some new type of difference sequence space of non-absolute type, Int. J. Modern Math. Sci., 14(1) (2016), 116-122.
  • [16] Ganie A.H., Gupkari S.A., Akhter A., Invariant means of sequences with statistical behaviour, Int. J. Creative Resh. Thoughts (IJCRT), 8(8) (2020), 2702-2705.
  • [17] Jalal T., Gupkari S.A., Ganie A.H., Infinite matrices and sigma convergent sequences, Southeast Asian Bull. Math., 36(2012), 825-830.
  • [18] Jalal T., Ganie A.H., Almost convergence and some matrix transformation, International Jour. Math.(Shekhar New Series), 1(1) (2009), 133-138.
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  • [24] Mursaleen M., Ganie A.H., Sheikh N.A., New type of difference sequence space and matrix transformation, FILOMAT, 28(7) (2014), 1381-1392.
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  • [26] Mursalee M., Basàr F., Altay B., On the Euler sequence spaces which include the spaces lp and l∞-II, Nonlinear Anal., 65(2006), 707-717.
  • [27] Mursaleen M., Noman A.K., On some new difference sequence spaces of non-absolute type, Math. Comput. Mod., 52(2010), 603-617.
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  • [32] Sheikh N.A., Ganie A.H., A new paranormed sequence space and some matrix transformations, Acta Math. Acad. Paedagog. Nyiregyhaziensis, 28(2012), 47-58.
  • [33] Sheikh N.A., Ganie A.H., A new type of sequence space of non-absolute type and matrix transformation, WSEAS Trans. Math., 8(12) (2013), 852-859.
  • [34] Sheikh N.A., Jalal T., Ganie A.H., New type of sequence spaces of non-absolute type and some matrix transformations, Acta Math. Acad. Paedagog. Nyiregyhaziensis, 29(2013), 51-66.
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Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4ac74f83-1f67-4714-a5e8-06089ba6f075
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