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Some difference paranormed sequence spaces defined by Orlicz functions

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Języki publikacji
EN
Abstrakty
EN
In this paper we introduce the difference paranormed sequence spaces ...[wzór] respectively. We study their different properties like completeness, solidity, monotonicity, symmetricity etc.We also obtain some relations between these spaces as well as prove some inclusion results.
Rocznik
Tom
Strony
121--131
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
  • Mathematical Sciences Division Institute of Advanced Study in Science and Technology Paschim Boragaon, Garchuk, Guwahati-781035; India, tripathybc@yahoo.com
Bibliografia
  • [1] Et M., Colok R., On generalized difference sequence spaces, Soochow J. Math., 21(4)(1995), 377-386.
  • [2] Kizmaz H., On certain sequence spaces, Canad. Math. Bull., 24(2)(1981), 169-176.
  • [3] Lascarides C.G., A study of certain sequence spaces of Maddox and generalization of a theorem of Iyer, Pacific Jour. Math., 38(2)(1971), 487-500.
  • [4] Lascarides C.G., Maddox I.J., Matrix transformation between some classes of sequences, Proc. Camb. Phil. Soc., 68(1970), 99-104.
  • [5] Lindenstrauss J., Tzafriri L., On Orlicz sequence spaces, Israel J. Math., 10(1971), 379-390.
  • [6] Maddox I.J., Paranormed sequence spaces generated by infinite matrices, Proc. Camb. Phil. Soc., 64(1968), 335-340.
  • [7] Mursaleen, Khan A., Qamaruddin, Difference sequence spaces defined by Orlicz functions, Demonstratio Mathematica, XXXII(1)(1999), 145-150.
  • [8] Nakano H., Modular sequence spaces, Proc. Japan Acad., 27(1951), 508-512.
  • [9] Nanda S., Some sequence spaces and almost convergence, J. Austral. Math. Soc. Ser. A, 22(1976), 446-455.
  • [10] Parasar S.D., Choudhary B., Sequence spaces defined by Orlicz functions, Indian J. Pure Appl. Math, 25(4)(1994), 419-428.
  • [11] Simons S., The sequence spaces l(pv) and m(pv), Proc. London Math. Soc., 15(1965), 422-436.
  • [12] Tripathy B.C., A class of difference sequences related to the p-normed space lp, Demonstratio Math., 36(4)(2003), 867-872.
  • [13] Tripathy B.C., Esi A., A new type of difference sequence spaces, Internat. J. Sci. Technol., (1)(2006), 11-14.
  • [14] Tripathy B.C., Esi A., Tripathy B.K., On a new type of generalized difference Cesàro sequence spaces, Soochow J. Math., 31(3)(2005), 333-340.
  • [15] Tripathy B.C., Sen M., On generalized statistically convergent sequence spaces, Indian J. Pure Appl. Math., 32(11)(2001), 1689-1694.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP3-0002-0058
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