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Some paranormed difference double sequence spaces defined by Orlicz function

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Języki publikacji
EN
Abstrakty
EN
In this article we introduce some vector valued difference paranormed double sequence spaces defined by Orlicz function. We study some of their properties like solidness, symmetric-ity, completeness etc. and prove some inclusion results.
Rocznik
Tom
Strony
113--124
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
  • Mathematical Science Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Garchuk, Guwahati-781 035, India, tripathybc@yahoo.com
Bibliografia
  • [1]BASARIR M., SONALCAN O., On Some Double Sequence Spaces, J. Indian Acad. Math., 21(2)(1999), 193-200.
  • [2]BROMWICH T . J . , An Introduction to the Theory of Infinite Series, MacMillan and Co. Ltd., New York (196.5).
  • [3]HARDY G.H., On the convergence of certain multiple series, Proc. Camb.Phil. Soc., 19(1917), 86-95.
  • [4]KAMTHAN P.K., GUPTA M., Sequence Spaces and Series, Marcel Dekker, 1980.
  • [5]KIZMAZ H., On Certain sequence spaces, Canad. Math. Bull., 24(1981), 169-176.
  • [6]KRASNOSELKII M.A., RUTITSKY Y.B., Convex Function and Orlicz Spaces, Groningen, Netherlands 1961.
  • [7]LINDENSTRAUSS J., TZAFRIRI L., On Orlicz sequence spaces, Israel J. Math.,10(1971), 379-390.
  • [8]MORICZ F., Extension of the spaces c and CO from single to double sequences, Acta Math. Hungerica, 57(1-2)(1991), 129-136.
  • [9]MORICZ F., RHOADES B.E., Almost convergence of double sequences and strong regularity of summability matrices, Math. Proc. Camb. Phil. Soc.,104(1988), 283-294.
  • [10]NAKANO H., Modular sequence spaces, Proc. Japan Acad., 27(1951), 508-512.
  • [11]SIMONS S., The sequence spaces and , Proc. London Math. Soc.,15(3)(1965), 422-436.
  • [12]TRIPATHY B. C., On some classes of difference paranormed sequence spaces associated with multiplier sequences, International Jour. Math. Sci., 2(1)(2003), 159-166.
  • [13]TRIPATHY B.C., A class of difference sequences related to p-normed space ℓp,Demonstratio Math., 36(4)(2003), 867-872.
  • [14]TRIPATHY B.C., SARMA B., Vector valued paranormed statistically convergent double sequence spaces, Mathematica Slovaca, 57(2)(2007), 179-188.
  • [15]TRIPATHY B.C., SARMA B., Statistically convergent double sequence spaces defined by Orlicz function, Soochow Journal of Mathematics, 32(2)(2006), 211-221.
  • [16]TRIPATHY B.C., SARMA B., On some classes of difference double sequence spaces (Under communication).
  • [17]TRIPATHY B.C., SARMA B., Some difference double sequence spaces defined by Orlicz function, Kyungpook Mathematical Journal, 58(2008) (in press).
  • [18]ZYGUMD A., Trigonometric Series, vol. II, Cambridge (1993).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0086-0014
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