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1 73 LIST OF PUBLICATIONS [1] N.Subramanian, S. Krishnamoorthy and S. Balasubramanian, The semi Orlicz space of χ of analytic,global Journal of Pure and Applied Mathematics, Vol. 5, NO.3 (2009), pp [2] N.Subramanian, S. Krishnamoorthy and S. Balasubramanian, The Orlicz space of χ,international Journal of Research and Reviews in Applied Sciences,Vol. 3, No.1 (2010), pp [3] N.Subramanian, S. Krishnamoorthy and S. Balasubramanian, A Subset of the space of the Orlicz space of χ sequences, Global Journal of Science Frontier Research (in press) [4] N.Subramanian, S. Krishnamoorthy and S. Balasubramanian, Semi Integarated Orlicz of χ conservative spaces, International J. of Math. Sci and Engg. Appls (IJMSEA) ISSN ,Vol. 4 No.II (2010), pp [5] N.Subramanian, S. Krishnamoorthy and S. Balasubramanian, The Matrix transformations on Orlicz space of χ, General Mathematics (communicated) [6] N.Subramanian, S. Krishnamoorthy and S. Balasubramanian, The difference Orlicz space of χ, Boletimda Sociedade paranaense de Matematical (in press) [7] N.Subramanian, S. Krishnamoorthy and S. Balasubramanian, A New double χ sequence space defined by a modulus function, Selcuk Journal of Applied Mathematics (communicated)
2 74 References [1] B.Altay and F.Basar, Some new spaces of double sequences, J. Math. Anal. Appl., 309(1), (2005), [2] Y.Altin and M.Et, Generalized difference sequence spaces defined by a modulus function in a locally convex space, Soochow J. Math., 31(2)(2005), [3] T.Apostol, Mathematical Analysis, Addison-wesley, London, [4] M.Basarir and O.Solancan, On some double sequence spaces, J. Indian Acad. Math., 21(2) (1999), [5] F.Basar and Y.Sever, The space L p of double sequences, Math. J. Okayama Univ, 51, (2009), [6] C.Bektas and Y.Altin, The sequence space l M (p, q, s) on seminormed spaces, Indian J. Pure Appl. Math., 34(4) (2003), [7] T.J.I A.Bromwich, An introduction to the theory of infinite series Macmillan and Co.Ltd.,New York, (1965). [8] H.I.Brown, The summability field of a perfect l l method of summation, J. Anal. Math., 20(1967), [9] J.C.Burkill and H.Burkill, A Second Course in Mathematical Analysis Cambridge University Press, Cambridge, New York, (1980). [10] K.Chandrasekhara Rao, Cesáro space of analytic sequences, Proceedings of the National Academy of Sciences, India, Section A. Vol. 48 (1978), [11] K.Chandrasekhara Rao and T.G.Srinivasalu, The Hahn sequence space- II, Journal of Faculty of Education, 1(2)(1996), [12] K.Chandrasekhara Rao and N.Subramanian, Semi analytic spaces, Science Letters, 26(2003), [13] K.Chandrasekhara Rao and N.Subramanian, The Orlicz space of entire sequences, Int. J. Math. Math. Sci., 68(2004), [14] K.Chandrasekhara Rao and N.Subramanian, The semi Orlicz space of analytic sequences, Thai Journal of Mathematics, Vol.2 (No.1), (2004),
3 75 [15] R.Colak and M.Et, On some generalized difference sequence spaces and related matrix transformations, Hokkaido Math. J., 26:3 (1997), [16] R.Colak, M.Et and E.Malkowsky, Some topics of sequence spaces, Lecture Notes in Mathematics, Firat University Press, Elazig, Turkey, [17] R.Colak and A.Turkmenoglu, The double sequence spaces l 2 (p), c 2 0(p) and c 2 (p), (to appear). [18] Erwin Kreyszig, Introductory Functional Analysis with Applications, John Wiley and Sons Inc., (1978) [19] M.Et, On some topological properties of generalized difference sequence spaces, Int. J. Math. Math. Sci., 24(11)(2000), [20] M.Et and R.Colak, On some generalized difference sequence spaces, Soochow J. Math., 21(4), 1995, [21] M.Et and F.Nuray, m Statistical Convergence, Indian J. Pure Appl. Math., 32(6) (2001), [22] G.Goes and S.Goes, Sequences of bounded variation and sequences of Fourier coefficients, Math. Zeitschrift, 118:93 (1970). [23] C.Goffman and G.Pedrick, First Course in Functional Analysis, Prentice Hall India, New Delhi, (1974) [24] A.Gökhan and R.Colak, The double sequence spaces c P 2 (p) and c P B 2 (p), Appl. Math. Comput., 157(2), (2004), [25] A.Gökhan and R.Colak, Double sequence spaces l 2, ibid., 160(1), (2005), [26] M.Gupta and P.K.Kamthan,Infinite matrices and tensorial transformations, Acta Math., Vietnam 5 (1980), [27] G.H.Hardy, On the convergence of certain multiple series, Proc. Camb. Phil. Soc., 19 (1917), [28] G.H.Hardy, Divergent series, Oxford University press Oxford, [29] M.Isik, On statistical convergence of generalized difference sequences, Soochow J. Math., 30(2)(2004), [30] E.Jurimae, Properties of domains of matrix mappings on rate-spaces and spaces with speed, Acta et Commentationes Universitatis Tartuensis de Mathematica, No. 970, (1994),
4 76 [31] P.K.Kamthan, Bases in a certain class of Frechet space, Tamkang J. Math., 1976, [32] P.K.Kamthan and M.Gupta, Sequence spaces and series. Lecture Notes in Pure and Applied Mathematics, Marcel Dekker Inc. New York, 65(1981). [33] H.Kizmaz, On certain sequence spaces, Canad Math. Bull., 24(2)(1981), [34] M.A.Krasnoselskii and Y.B.Rutickii, Convex functions and Orlicz spaces, Gorningen, Netherlands, [35] J.Lindenstrauss and L.Tzafriri, On Orlicz sequence spaces, Israel J. Math., 10 (1971), [36] I.J.Maddox,Elements of Functional Analysis, Cambridge University Press, Cambridge (1970, 1988) [37] I.J.Maddox, Sequence spaces defined by a modulus, Math. Proc. Cambridge Philos. Soc, 100(1) (1986), [38] I.J.Maddox and J.W.Roles, Absolute convexity in certain topological linear spaces, Proc. Cambridge Phil. Soc., 66 (1969), [39] F.Moricz, Extentions of the spaces c and c 0 from single to double sequences, Acta. Math. Hungerica, 57(1-2), (1991), [40] F.Moricz and B.E.Rhoades, Almost convergence of double sequences and strong regularity of summability matrices, Math. Proc. Camb. Phil. Soc., 104, (1988), [41] M.Mursaleen, Almost strongly regular matrices and a core theorem for double sequences, J. Math. Anal. Appl., 293(2), (2004), [42] M.Mursaleen and O.H.H. Edely, Statistical convergence of double sequences, J. Math. Anal. Appl., 288(1), (2003), [43] M.Mursaleen and O.H.H. Edely,Almost convergence and a core theorem for double sequences, J. Math. Anal. Appl., 293(2), (2004), [44] M.Mursaleen,M.A.Khan and Qamaruddin, Difference sequence spaces defined by Orlicz functions, Demonstratio Math., Vol. XXXII (1999), [45] Nakano, Concave modulars, J. Math. Soc. Japan, 5(1953),
5 77 [46] W.Orlicz, Über Raume ( L M) Bull. Int. Acad. Polon. Sci. A, (1936), [47] S.D.Parashar and B.Choudhary, Sequence spaces defined by Orlicz functions, Indian J. Pure Appl. Math., 25(4)(1994), [48] W.H.Ruckle, FK spaces in which the sequence of coordinate vectors is bounded, Canad. J. Math., 25(1973), [49] S.M.Sirajiudeen, Matrix transformations of c 0 (p), l (p), l p and l into χ, Indian J. Pure Appl. Math., 12(9) (1981), [50] A.K.Snyder, Consistency theory in semi conservative spaces, Studia Math., 5(1982), [51] A.K.Snyder and A.Wilansky, Inclusion Theorems and semi conservative FK-spaces, Rocky Mountain Journal of Math., 2(1972), [52] S.Sridhar, A matrix transformation between some sequence spaces, Acta Ciencia Indica, 5 (1979), [53] N.Subramanian and U.K.Misra, Tensorial transformations of double gai sequence spaces, International Journal of Computational and Mathematical Sciences, 3:4, (2009), [54] N.Subramanian and U.K.Misra, The semi normed space defined by a double gai sequence of modulus function, Fasciculi Math., 46, (2010). [55] N.Subramanian and U.K.Misra, The Generalized double of gai sequence spaces, Fasciculi Math., 43, (2010). [56] N.Subramanian and U.K.Misra, Characterization of gai sequences via double Orlicz space, Southeast Asian Bulletin of Mathematics, (revised). [57] N.Subramanian, R.Nallswamy and N.Saivaraju, Characterization of entire sequences via double Orlicz space, Internaional Journal of Mathematics and Mathemaical Sciences, 2007, Article ID 59681, 10 pages. [58] N.Subramanian, B.C.Tripathy and C.Murugesan, The semi Orlicz space of cs d 1, Communications of the Korean Mathematical Society, in press. [59] N.Subramanian, B.C.Tripathy and C.Murugesan, The double sequence space of Γ 2, Fasciculi Math., 40, (2008), [60] N.Subramanian, B.C.Tripathy and C.Murugesan, The Cesáro of double entire sequences, International Mathematical Forum, 4 no.2(2009),
6 78 [61] B.C.Tripathy, On statistically convergent double sequences, Tamkang J. Math., 34(3), (2003), [62] B.C.Tripathy,M.Etand Y.Altin, Generalized difference sequence spaces defined by Orlicz function in a locally convex space, J. Analysis and Applications, 1(3)(2003), [63] A.Turkmenoglu, Matrix transformation between some classes of double sequences, Jour. Inst. of math. and Comp. Sci. (Math. Seri. ), 12(1), (1999), [64] A.Wilansky, Modern methods in topological vector spaces, Mc Graw- Hill Inc., New York, [65] A.Wilansky, Summability through Functional Analysis, North- Holland Mathematical Studies, North-Holland Publishing, Amsterdam, Vol.85(1984). [66] M.Zeltser, Investigation of Double Sequence Spaces by Soft and Hard Analitical Methods, Dissertationes Mathematicae Universitatis Tartuensis 25, Tartu University Press, Univ. of Tartu, Faculty of Mathematics and Computer Science, Tartu, 2001.
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