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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.
Czasopismo
Rocznik
Tom
Strony
113--124
Opis fizyczny
Bibliogr. 18 poz.
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autor
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).
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Bibliografia
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bwmeta1.element.baztech-article-BPP1-0086-0014