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In this article we introduce some statistically convergent difference double sequence spaces defined by Orlicz function. Completeness of the spaces will be proved. We study some of their other properties like solidness, symmetricity etc. and prove some inclusion results.
Czasopismo
Rocznik
Tom
Strony
137--144
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
- Department of Mathematics M.C. College, Barpeta, Assam-781301, India
Bibliografia
- [1] Basarir M., Sonalcan O., On some double sequence spaces, J. Indian Acad. Math., 21(2)(1999), 193-200.
- [2] Basarir M., On lacunary strong a-sonvergence with respect to a sequence of σ-functions, Fasc. Math., 43(2010), 19-32.
- [3] Bromwich T.J.IA, An Introduction to the Theory of Infinite Series, MacMillan and Co.Ltd., New York, 1965.
- [4] Dutta A.J., Lacunary p-absolutely summable sequences of fuzzy real numbers, Fasc. Math., 46(2011), 57-64.
- [5] Hardy G.H., On the Convergence of Certain Multiple Series, Proc. Camb. Phil. Soc., 19(1917).
- [6] Kamthan P.K., Gupta M., Sequence Spaces and Series, Marcel Dekker, 1980.
- [7] Kizmaz H., On certain sequence spaces, Canad. Math. Bull., 24(1981), 169-176.
- [8] Krasnoselkii M.A., Rutitsky Y.B., Convex Function and Orlicz Spaces, Groningen Netherlands, 1961.
- [9] Lindenstrauss J., Tzafriri L., On Orlicz sequence spaces, Israel J. Math., 10(1971), 379-390.
- [10] Moricz F., Extension of the spaces c and c0 from single to double sequences, Acta. Math. Hungerica, 57(1-2)(1991), 129-136.
- [11] Tripathy B.C., Statistically convergent double sequences, Tamkang J. Math., 34(3)(2003), 231-237.
- [12] Tripathy B.C., Sarma B., Statistically convergent difference double sequence spaces, Acta Mathematica Sinica, 23(6)(2007), 965-972.
- [13] Tripathy B.C., Sarma B., On some classes of difference double sequence spaces, Fasc. Math., 41(2009), 135-142.
- [14] Tripathy B.C., Sarma B., Vector valued double sequence Spaces defined by Orlicz function, Math. Slovaca, 59(6)2009, 767-776.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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