참고문헌
- Y. Altin, M. Et and M. Basarir, on some generalized difference sequences of fuzzy numbers, Kuwait J. Sci. Eng., 34(1A)(2007), 1-14.
- Y. Altin, M. Mursaleen and H. Altinok, Statistical summability (C; 1) for sequences of fuzzy real numbers and a Tauberian theorem, Jour. Intell. Fuzzy Systems, 21(2010), 379-384.
-
H. Altinok, R. Colak and M. Et,
${\lambda}$ -Difference sequence spaces of fuzzy numbers, Fuzzy Sets Systems, 160(21)(2009), 3128-3139. https://doi.org/10.1016/j.fss.2009.06.002 - M. Basarir and O. Sonalcan, On some double sequence spaces, J. Indian Acad. Math., 21(2)(1999), 193-200.
- T. J. I. Bromwich, An Introduction to the Theory of Infinite Series, MacMillan and Co. Ltd. New York, 1965.
- R. Colak, H. Altinok and M. Et, Generalized difference sequences of fuzzy numbers, Chaos Solitons Fractrals, 40(2009), 1106-1117. https://doi.org/10.1016/j.chaos.2007.08.065
- G. H. Hardy, On the convergence of certain multiple series, Proc. Camb. Phil. Soc., 19(1917), 86-95.
- P. Kostyrko, T. Salat and W. Wilczynski, I-convergence, Real Anal. Exchange, 26(2000-2001), 669-686.
-
F. Moricz, Extension of the spaces c and
$c_0$ from single to double sequences, Acta. Math. Hungerica, 57(1-2)(1991), 129-136. https://doi.org/10.1007/BF01903811 - F. Moricz and B. E. Rhoades, Almost convergence of double sequences and strong regularity of summability matrices, Math. Proc. Camb. Phil. Soc., 104(1988), 283-294. https://doi.org/10.1017/S0305004100065464
- D. Rath and B. C. Tripathy, Matrix maps on sequence spaces associated with sets of integers, Indian J. Pure Appl. Math., 27(2)(1996), 197-206.
- B. C. Tripathy, Matrix transformations between some classes of sequences, Jour. Math. Anal. Appl., 206(3)(1997), 448-450. https://doi.org/10.1006/jmaa.1997.5236
- B. C. Tripathy, Statistically convergent double sequences, Tamkang J. Math., 34(3)(2003), 231-237.
- B. C. Tripathy, On generalized difference paranormed statistically convergent sequences, Indian J. Pure Appl. Math., 35(5)(2004), 655-663.
- B. C. Tripathy and A. Baruah, New type of difference sequence spaces of fuzzy real numbers, Math. Modell. Anal., 14(3)(2009), 391-397. https://doi.org/10.3846/1392-6292.2009.14.391-397
- B. C. Tripathy and A. Baruah, Lacunary statistically convergent and lacunary strongly convergent generalized difference sequences of fuzzy real numbers, Kyungpook Math. J., 50(2010), 565-574. https://doi.org/10.5666/KMJ.2010.50.4.565
-
B. C. Tripathy and S. Borgogain, The sequence space
$m(M, , Math. Modell. Anal., 13(4)(2008), 577-586. https://doi.org/10.3846/1392-6292.2008.13.577-586${\phi}$ ,${\Delta}_{m}^{n}$ , p)^F$ - B. C. Tripathy, B. Choudhary and B. Sarma, On some new type generalized difference sequence spaces, Kyungpook Math. J., 48(4)(2008), 613-622. https://doi.org/10.5666/KMJ.2008.48.4.613
-
B. C. Tripathy and A. J. Dutta, On fuzzy real-valued double sequence spaces 2
${\ell}_F^p$ , Math. Comput. Modell., 46(9-10)(2007), 1294-1299. https://doi.org/10.1016/j.mcm.2007.01.006 - B. C. Tripathy and A. J. Dutta, Bounded variation double sequence space of fuzzy real numbers, Comput. Math. Appl., 59(2)(2010), 1031-1037. https://doi.org/10.1016/j.camwa.2009.09.006
- B. C. Tripathy and H. Dutta, On some new paranormed difference sequence spaces defined by Orlicz functions, Kyungpook Math. J., 50(2010), 59-69. https://doi.org/10.5666/KMJ.2010.50.1.059
- B. C. Tripathy and B. Hazarika, I-convergent sequence spaces associated with multiplier sequence spaces, Math. Ineq. Appl., 11(3)(2008), 543-548.
- B. C. Tripathy and B. Hazarika, Paranormed I-convergent sequences spaces, Math. Slovaca, 59(4)(2009), 485-494. https://doi.org/10.2478/s12175-009-0141-4
- B. C. Tripathy and B. Hazarika, I-convergent sequences spaces defined by Orlicz function, Acta Math. Appl. Sin. Eng. Ser., 27(1)(2011), 149-154. https://doi.org/10.1007/s10255-011-0048-z
- B. C. Tripathy and S. Mahanta, On I-acceleration convergence of sequences, Jour. Franklin Inst., 347(2010), 591-598. https://doi.org/10.1016/j.jfranklin.2010.02.001
- B. C. Tripathy and M. Sen, On generalized statistically convergent sequences, Indian J. Pure Appl. Math., 32(11)(2001), 1689-1694.
- B. C. Tripathy and M. Sen, Characterization of some matrix classes involving paranormed sequence spaces, Tamkang Jour. Math., 37(2)(2006), 155-162.
- B. K. Tripathy and B. C. Tripathy, On I-convergent double sequences, Soochow J. Math., 31(4)(2005), 549-560.
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