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The random of lacunary statistical on χ2 over p-metric spaces defined by Musielak

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Języki publikacji
EN
Abstrakty
EN
Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. Recently Mohiuddine and Aiyup defined the notion of lacunary statistical convergence and lacunary statistical Cauchy in random 2-normed spaces. In this paper, we define and study the notion of lacunary statistical convergence and lacunary of statistical Cauchy sequences in random on χ2 over p- metric spaces dfined by Musielak and prove some theorems which generalizes Mohiuddine and Aiyup results.
Rocznik
Tom
Strony
133--150
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
  • Department of Mathematics, SASTRA University, Thanjavur-613 401, India
autor
  • Department of Mathematics, Shanmugha Polytechnic College, Thanjavur-613 401, India
  • P.G. and Research Department of Mathematics, Periyar E.V.R. College (Autonomous) Tiruchirappalli–620 023, India
Bibliografia
  • [1] M. Basarir and O. Solancan, On some double sequence spaces, J. Indian Acad. Math., 21(2) (1999), 193-200.
  • [2] T.J.I’A. Bromwich, An introduction to the theory of infinite series Macmillan and Co.Ltd., New York, (1965).
  • [3] G.H. Hardy, On the convergence of certain multiple series, Proc. Camb. Phil. Soc., 19 (1917), 86-95.
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  • [14] M. Mursaleen and O.H.H. Edely, Statistical convergence of double sequences, J. Math. Anal. Appl., 288(1), (2003), 223-231.
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  • [16] F. BaŞar and Y. Sever, The space Lp of double sequences, Math. J. Okayama Univ, 51, (2009), 149-157.
  • [17] N. Subramanian and U.K. Misra, The semi normed space defined by a double gai sequence of modulus function, Fasciculi Math., 46, (2010).
  • [18] J. Cannor, On strong matrix summability with respect to a modulus and statistical convergence, Canad. Math. Bull., 32(2), (1989), 194-198.
  • [19] A. Pringsheim, Zurtheorie derzweifach unendlichen zahlenfolgen, Math. Ann., 53, (1900), 289-321.
  • [20] H.J. Hamilton, Transformations of multiple sequences, Duke Math. J., 2, (1936), 29-60.
  • [21] H.J. Hamilton, A Generalization of multiple sequences transformation, Duke Math. J., 4, (1938), 343-358.
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  • [23] A. Wilansky, Summability through Functional Analysis, North-Holland Mathematical Studies, North-Holland Publishing, Amsterdam, Vol.85(1984).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-97768d00-1ce5-4018-b7a1-0079d05800bc
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