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Difference sequence spaces defined by Musielak-Orlicz function

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The purpose of this paper is to introduce sequence spaces [ wzór ]θ. We also examine some topological properties and prove some inclusion relations between these spaces.
Rocznik
Tom
Strony
107--117
Opis fizyczny
Bibliogr. 27 poz.
Twórcy
  • Department of Mathematics, Cluster University of Jammu, Jammu 180001, J& K, India
  • Faculty of Science, Nakhon Phanon University, Nakhon Phanon, Thailand
autor
  • Department of Mathematics, Model Institute of Engineering & Technology, Kot Bhalwal-181122, J& K, India
Bibliografia
  • [1] H. Kızmaz, On certain sequence spaces, Canad. Math. Bull. 24 (1981) 169-176.
  • [2] M. Et, R. Çolak, On some genelalized difference sequence spaces, Soochow J. Math. 21 (1995) 377-356.
  • [3] M. Et, M. Başarir, On some new genelalized difference sequence spaces, Period. Math. Hung. 35 (1997) 169-175.
  • [4] H. Dutta, On some difference sequence spaces, Proc. J. Sci. Technology 10 (2009) 243-247.
  • [5] H. Dutta, Some statistically convergent difference sequence spaces defined over real 2-normed linear space, Appl. Sci. 12 (2010) 37-47.
  • [6] M. Işik, On statistical convergence of generalized difference sequences, Soochow J. Math. 30 (2004) 197-205.
  • [7] M. Mursaleen, Generalized spaces of difference sequences, J. Math. Analysis Appl. 203 (1996) 738-745.
  • [8] M. Mursaleen, V. Karakya, H. Polat, N. Simşek, Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means, Comput. Math. Appl. 62 (2011) 814-820.
  • [9] M. Mursaleen, A.K. Noman, On some new difference sequence spaces of nonabsolute type, Math. Comput. Model. 52 (2010) 603-617.
  • [10] M. Mursaleen, A.K. Noman, Compactness of matrix operators on some new difference sequence spaces, Linear Algebra Appl. 436 (2012) 41-52.
  • [11] K. Raj, S.K. Sharma, A.K. Sharma, Some difference sequence spaces in n-normed spaces defined by Musielak-Orlicz function, Armenian J. Math. 3 (2010) 127-141.
  • [12] K. Raj, A.K. Sharma, S.K. Sharma, A sequence space defined by Musielak-Orlicz function, Int. J. Pure Appl. Math. 67 (2011) 475-484.
  • [13] K. Raj, S.K. Sharma, Some sequence spaces in 2-normed spaces defined by Musielak-Orlicz function, Acta. Univ. Saprientia Math. 3 (2011) 97-109.
  • [14] M. Mursaleen, S.K. Sharma, A. Kiliçman, Sequence spaces defined by Musielak-Orlicz function over n-normed spaces, Abstract and Applied Analysis, Volume 2013, Article ID 364773, 10 pages.
  • [15] K. Raj, S.K. Sharma, Some multiplier sequence spaces defined by a Musielak-Orlicz function in n-normed spaces, New Zealand J. Math. 42 (2012) 45-56.
  • [16] F. Başar, B. Altay, On the space of sequences of bounded variation and related matrix mapping, Ukr. Math. J. 55 (2003) 136–147.
  • [17] M. Başasir, M. Kayik,ci, On the generalized Bm-Riesz difference sequence spaces and β-property, J. Inequal. Appl. (2009), Article ID 385029.
  • [18] J. Lindenstrauss, L. Tzafriri, On Orlicz sequence spaces, Israel J. Math. 10 (1971) 379–390.
  • [19] L. Maligranda, Orlicz Spaces and Interpolation, Seminars in Mathematics, Polish Academy of Science, 1989.
  • [20] J. Musielak, Orlicz Spaces and Modular Spaces, Lecture Notes in Mathematics, 1034, 1983.
  • [21] S. Gähler, 2-metrische Raume und ihre topologishe struktur, Math. Nach. 26 (1963) 115–148.
  • [22] A. Misiak, n-inner product spaces, Math. Nach. 140 (1989) 299–319.
  • [23] H. Gunawan, On n-inner product, n-norms and the Cauchy Schwartz inequality, Sci. Math. Jpn. 5 (2001) 47–54.
  • [24] H. Gunawan, The space of p-summable sequence and its natural n-norms, Bull. Aust. Math. Soc. 64 (2001) 137-147.
  • [25] H. Gunawan, M. Mashadi, On n-normed spaces, Int. J. Math. Math. Sci. 27 (2001) 631–639.
  • [26] G.G. Lorentz, A contribution to the theory of divergent sequences, Acta Mathematica 80 (1948) 167-190.
  • [27] A.R. Freedman, J.J. Sember, M. Rephael, Some Cesaro type summability spaces, Proc. London Math. Soc. 37 (1978) 508-520.
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0459a430-0773-47d9-9d20-be19c14aeaa9
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