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On some new quasi almost ∆m-lacunary strongly P-convergent double sequences defined by Orlicz functions

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Języki publikacji
EN
Abstrakty
EN
The idea of quasi almost P-convergent sequences defined as [...] was introduced by V.A.Khan and Q.M.D.Lohani [Mathematicki Vesnik, (60), 95-100 (2008)]. In this paper we introduce a new concept for quasi almost ∆m-lacunary strongly P-convergent double sequences defined by Orlicz function and give inclusion relations.
Rocznik
Tom
Strony
45--52
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
  • Department of Mathematics A.M.U. Aligarh-202002 (INDIA)
autor
  • Department of Mathematics A.M.U. Aligarh-202002 (INDIA)
Bibliografia
  • [1] M. Et and Colak, On some generalized difference sequence spaces, Soochochow J. Math., 21(4), 377-386 (1995).
  • [2] A.R. Freedman, J.J. Sember and M. Raphel, Some Cesàro-type summability spaces, Proc. London Math.Soc. 37(3), 508-520 (1978).
  • [3] Vakeel A. Khan and Q.M. Danish Lohani, On some almost lacunary strong convergence difference sequence spaces defined by a sequence of moduli, Mathematicki Vesnik, 60, 95-100 (2008).
  • [4] H. Kizmaz, On certain sequence spaces, Canadian Math.Bull., 24(2), 169-176 (1981).
  • [5] E. Kolk, On strong boundedness and summability with respect to a sequence of moduli, Acta Comment. Univ. Tartu, 960, 41-50 (1993).
  • [6] E. Kolk, Inclusion theorems for some sequence spaces defined by a sequence of moduli, Acta Comment. Univ. Tartu, 970, 65-72 (1994).
  • [7] J. Lindenstrauss and L. Tzari, On Orlicz Sequence Spaces, Israel J. Math. 10, 379-390 (1971).
  • [8] I.J. Maddox, Sequence Spaces Defined by Modulus, Math. Proc. Camb. Soc. 100, 161-166 (1986).
  • [9] F. Moricz and B.E. Rhoades, Almost convergence of double sequences and strong regularity of summability matrices, Math. Proc. Camb. Phil. Soc., 104, 283-293 (1988).
  • [10] S. Pehlivian and B. Fisher, Lacunary strong convergence with respect to a sequence of modulus functions, Comment Math. Univ. Caroline, 36, 69-76 (1995).
  • [11] A. Pringsheim, Zur theorie der zweifach unendlichen zahlenfolgen, Math.Annalen, 53, 289-321 (1900).
  • [12] W.H. Ruckle, FK spaces in which the sequence of coordinate vectors is bounded, Canad. J. Math., 25, 973-975 (1973).
  • [13] E. Savas and R.F. Patterson, On some double almost lacunary sequences defined by Orlicz function, FILOMAT, 19, 35-44 (2005).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ac7a665b-608f-4880-bc63-d0d1dbb99439
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