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Abstrakty
In this paper we have introduced an order relation on convergent double sequences and have constructed an ordered vector space, Riesz space, order complete vector space in case of double sequences. We have verified the Archimedean property.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
29--34
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
- Department of Mathematics Gauhati University Guwahati - 781014, Assam, India
autor
- Department of Mathematics Gauhati University Guwahati - 781014, Assam, India
autor
- Mathematical Sciences Division Institute of Advanced Study in Science and Technology Paschim Boragaon, Garchuk, Guwahati - 781035, Assam, India
Bibliografia
- [1] Abdeljawad T., Completion of cone metric spaces, Hacettepe Jour. Math. Statistics, 39(1)(2010), 67-74.
- [2] Basarir M., Solancan O., On some double sequence spaces, J. Indian Acad. Math., 21(2)(1999), 193-200.
- [3] Beg I., Abbas M., Nazir T., Generalized cone metric space, J. Nonlinear Sci. Appl., 3(1)(2010), 21-31.
- [4] Browmich T.J.I., An Introduction to the Theory of Infinite Series, Macmillan Co. Ltd. New York, 1965.
- [5] Dhanorkar G.A., Salunke J.N., A generalization on fixed point theorem on cone metric spaces with ω-distance, Internat. Math. Forum, 6(39)(2011), 1915-1919.
- [6] Hardy G.H., On the convergence of certain multiple series, Proc. Camb. Phil. Soc, 19(1917), 86-95.
- [7] Kamthan P.K., Gupta M., Theory of Bases and Cones, Pitman Publishing Limited, London, 1985.
- [8] Kaushal K., Ordered generalized sequence spaces, (July 1992), Ph.D. thesis, Indian Institute of Technology Kanpur.
- [9] Moricz F., Extension of the spaces c and ca from single to double sequences, Acta. Math. Hungerica, 57(1-2)(1991), 129-136.
- [10] 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.
- [11] Patterson R.F., Analogue of some fundamental theorems of summability theory, Internat. J. Math. Math. Sci., 23(1)(2000), 1-9.
- [12] Riesz F., Sur la decomposition des operations lineaires, Atti. Congr. Bologona, 3(1928), 143-148.
- [13] Tripathy B.C., On statistically convergent double sequences, Tamkang J. Math., 34(3)(2003), 231-237.
- [14] Tripathy B.C., Dutta A.J., Bounded variation double sequence space of fuzzy real numbers, Comput. Math. Appl., 59(2)(2010), 1031-1037.
- [15] Tripathy B.C., Sarma B., Statistically convergent difference double sequence spaces, Acta Math. Sinica (Eng. Ser.), 24(5)(2008), 737-742.
- [16] Tripathy B.C., Sarma B., Vector valued double sequence spaces defined by Orlicz function, Math. Slovaca, 59(6)(2009), 767-776.
- [17]Tripathy B.C., Sarma B., Double sequence spaces of fuzzy numbers defined by Orlicz function, Acta Math. Scientia, 31B(1)(2011), 134-140.
- [18] Tripathy B.C., Sarma B., On I-convergent double sequences of fuzzy real numbers, Kyungpook Math. J., 52(2)(2012), 189-200.
- [19] Turkmenoglu A., Matrix transformation between some classes of double sequences, Jour. Inst. of math. and Comp. Sci. (Math. Seri.), 12(1)(1999), 23-31.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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