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Some seminormed difference sequence spaces defined by a Musielak-Orlicz function over n-normed spaces

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Abstrakty
EN
In the present paper we introduced some seminormed difference sequence spaces combining lacunary sequences and Musielak-Orlicz function M = (Mk) over n-normed spaces and examine some topological properties and inclusion relations between resulting sequence spaces.
Rocznik
Tom
Strony
115--131
Opis fizyczny
Bibliogr. 26 poz.
Twórcy
autor
autor
  • Department of Mathematics, Model Institute of Engineering & Technology, Kot Bhalwal-181122, J&K, INDIA, sunilksharma42@gmail.com
Bibliografia
  • [1] A. Esi, Some new paranormed sequence spaces defined by Orlicz function, International Journal of Science, Environment and Technology, 1 (2012), 49-55.
  • [2] A. Esi, Strongly lacunary summable double sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function, Advanced Modeling and Optimization, 14 (2012), 79-86.
  • [3] A. Esi, Strongly almost summable sequence spaces in 2-normed spaces defined by ideal convergence and an Orlicz function, Stud. Univ. Babes-Bolyai Math. 57 (2012), 75-82.
  • [4] M. Et and R. Çolak, On some generalized difference sequence spaces, Soochow. J. Math., 21 (1995), 377-386.
  • [5] A. R. Freedman, J. J. Sember and M. Raphael, Some Cesaro-type summability spaces, Proc. London Math. Soc., 37 (1978), 508-520.
  • [6] S. Gähler, Linear 2-normietre Rume, Math. Nachr., 28 (1965), 1-43.
  • [7] H. Gunawan, On n-inner product, n-norms, and the Cauchy-Schwartz inequality, Sci. Math. Jpn., 5 (2001), 47-54.
  • [8] H. Gunawan, The space of p-summable sequence and its natural n-norm, Bull. Aust. Math. Soc., 64 (2001), 137-147.
  • [9] H. Gunawan and M. Mashadi, On n-normed spaces, Int. J. Math. Math. Sci., 27 (2001), 631-639.
  • [10] M. Güngor and M. Et, Δr-strongly almost summable sequences defined by Orlicz functions, Indian J. Pure Appl. Math., 34 (2003), 1141-1151.
  • [11] H. Kızmaz, On certain sequence spaces, Canad. Math-Bull., 24 (1981), 169-176.
  • [12] J. Lindenstrauss and L. Tzafriri, On Orlicz sequence spaces, Israel J. Math., 10 (1971), 345-355.
  • [13] G. G. Lorentz, A contribution to the theory of divergent sequences, Acta Mathematica, 80 (1948), 167-190.
  • [14] I. J. Maddox, Spaces of strongly summable sequences, Quart. J. Math., 18 (1967), 345-355.
  • [15] I. J. Maddox, A new type of convergence, Math. Proc. Camb. Phil. Soc., 83 (1978), 61-64.
  • [16] L. Maligranda, Orlicz spaces and interpolation, Seminars in Mathematics 5, Polish Academy of Science, 1989.
  • [17] A. Misiak, n-inner product spaces, Math. Nachr., 140 (1989), 299-319.
  • [18] M. Mursaleen, On statistical convergence in random 2-normed spaces, Acta Sci. Math. (szeged), 76 (2010), 101–109.
  • [19] M. Mursaleen and A. Alotaibi, On I-convergence in random 2-normed spaces, Math. Slovaca, 61 (2011), 933–940.
  • [20] J. Musielak, Orlicz spaces and modular spaces, Lecture Notes in Mathematics, 1034 (1983).
  • [21] K. Raj and S. K. Sharma, Some sequence spaces in 2-normed spaces defined by Musielak-Orlicz function, Acta Univ. Sapientiae Math., 3 (2011), 97-109.
  • [22] K. Raj and S. K. Sharma, Some generalized difference double sequence spaces defined by a sequence of Orlicz-function, Cubo, 14 (2012), 167-189.
  • [23] K. Raj and 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.
  • [24] E. Savaş, Some sequence spaces defined by Orlicz functions, Arch. Math., 40 (2004), 33–40.
  • [25] E. Savaş, Some new double sequence spaces defined by Orlicz function in n-normed space, Journal of Inequalities and Applications, Vol (2011), ID 592840, 1–9.
  • [26] A. Wilansky, summability through Functional Analysis, North- Holland Math. Stud. 85 (1984).
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-da338f04-ac90-4fbe-bd39-b0186fdac813
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